Download - Algebra 1B Section 5-4
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Section 5-4Compound Inequalities
Monday, October 14, 13
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Essential Question
✤ How do you solve compound inequalities?
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Vocabulary
1. Compound Inequality:
2. Intersection:
3. Union:
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Vocabulary
1. Compound Inequality: Two inequalities that are utilized at the same time
2. Intersection:
3. Union:
Monday, October 14, 13
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Vocabulary
1. Compound Inequality: Two inequalities that are utilized at the same time
2. Intersection: A compound inequality the connects the two inequalities using and; Only true if BOTH inequalities are true
3. Union:
Monday, October 14, 13
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Vocabulary
1. Compound Inequality: Two inequalities that are utilized at the same time
2. Intersection: A compound inequality the connects the two inequalities using and; Only true if BOTH inequalities are true
3. Union: A compound inequality the connects the two inequalities using or; True if EITHER inequality is true
Monday, October 14, 13
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Example 1
a. 7 < x + 2 ≤ 11Solve and graph the solution set.
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Example 1
a. 7 < x + 2 ≤ 11Solve and graph the solution set.
7 < x + 2
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Example 1
a. 7 < x + 2 ≤ 11Solve and graph the solution set.
7 < x + 2 x + 2 ≤ 11
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Example 1
a. 7 < x + 2 ≤ 11Solve and graph the solution set.
7 < x + 2 x + 2 ≤ 11and
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Example 1
a. 7 < x + 2 ≤ 11Solve and graph the solution set.
7 < x + 2 x + 2 ≤ 11 −2 −2
and
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Example 1
a. 7 < x + 2 ≤ 11Solve and graph the solution set.
7 < x + 2 x + 2 ≤ 11 −2 −2
5 < x
and
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Example 1
a. 7 < x + 2 ≤ 11Solve and graph the solution set.
7 < x + 2 x + 2 ≤ 11 −2 −2 −2 −2
5 < x
and
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Example 1
a. 7 < x + 2 ≤ 11Solve and graph the solution set.
7 < x + 2 x + 2 ≤ 11 −2 −2 −2 −2
5 < x x ≤ 9
and
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Example 1
a. 7 < x + 2 ≤ 11Solve and graph the solution set.
7 < x + 2 x + 2 ≤ 11 −2 −2 −2 −2
5 < x x ≤ 9
and
1050Monday, October 14, 13
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Example 1
a. 7 < x + 2 ≤ 11Solve and graph the solution set.
7 < x + 2 x + 2 ≤ 11 −2 −2 −2 −2
5 < x x ≤ 9
and
1050Monday, October 14, 13
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Example 1
a. 7 < x + 2 ≤ 11Solve and graph the solution set.
7 < x + 2 x + 2 ≤ 11 −2 −2 −2 −2
5 < x x ≤ 9
and
1050Monday, October 14, 13
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Example 1
a. 7 < x + 2 ≤ 11Solve and graph the solution set.
7 < x + 2 x + 2 ≤ 11 −2 −2 −2 −2
5 < x x ≤ 9
and
1050Monday, October 14, 13
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Example 1
a. 7 < x + 2 ≤ 11Solve and graph the solution set.
7 < x + 2 x + 2 ≤ 11 −2 −2 −2 −2
5 < x x ≤ 9
and
{x|5 < x ≤ 9}
1050Monday, October 14, 13
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Example 1
b. 4k − 7 ≤ 25 or 12− 9k ≥ 30Solve and graph the solution set.
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Example 1
b. 4k − 7 ≤ 25 or 12− 9k ≥ 30Solve and graph the solution set.
4k − 7 ≤ 25
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Example 1
b. 4k − 7 ≤ 25 or 12− 9k ≥ 30Solve and graph the solution set.
4k − 7 ≤ 25 12− 9k ≥ 30
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Example 1
b. 4k − 7 ≤ 25 or 12− 9k ≥ 30Solve and graph the solution set.
4k − 7 ≤ 25 12− 9k ≥ 30or
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Example 1
b. 4k − 7 ≤ 25 or 12− 9k ≥ 30Solve and graph the solution set.
4k − 7 ≤ 25 12− 9k ≥ 30 +7 +7
or
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Example 1
b. 4k − 7 ≤ 25 or 12− 9k ≥ 30Solve and graph the solution set.
4k − 7 ≤ 25 12− 9k ≥ 30 +7 +7 4k ≤ 32
or
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Example 1
b. 4k − 7 ≤ 25 or 12− 9k ≥ 30Solve and graph the solution set.
4k − 7 ≤ 25 12− 9k ≥ 30 +7 +7 4k ≤ 32
or
4 4
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Example 1
b. 4k − 7 ≤ 25 or 12− 9k ≥ 30Solve and graph the solution set.
4k − 7 ≤ 25 12− 9k ≥ 30 +7 +7 4k ≤ 32
or
4 4 k ≤ 8
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Example 1
b. 4k − 7 ≤ 25 or 12− 9k ≥ 30Solve and graph the solution set.
4k − 7 ≤ 25 12− 9k ≥ 30 +7 +7 −12 −12 4k ≤ 32
or
4 4 k ≤ 8
Monday, October 14, 13
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Example 1
b. 4k − 7 ≤ 25 or 12− 9k ≥ 30Solve and graph the solution set.
4k − 7 ≤ 25 12− 9k ≥ 30 +7 +7 −12 −12 4k ≤ 32 −9k ≥ 18
or
4 4 k ≤ 8
Monday, October 14, 13
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Example 1
b. 4k − 7 ≤ 25 or 12− 9k ≥ 30Solve and graph the solution set.
4k − 7 ≤ 25 12− 9k ≥ 30 +7 +7 −12 −12 4k ≤ 32 −9k ≥ 18
or
4 4 k ≤ 8
−9 −9
Monday, October 14, 13
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Example 1
b. 4k − 7 ≤ 25 or 12− 9k ≥ 30Solve and graph the solution set.
4k − 7 ≤ 25 12− 9k ≥ 30 +7 +7 −12 −12 4k ≤ 32 −9k ≥ 18
or
4 4 k ≤ 8
−9 −9 k ≤ −2
Monday, October 14, 13
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Example 1
b. 4k − 7 ≤ 25 or 12− 9k ≥ 30Solve and graph the solution set.
4k − 7 ≤ 25 12− 9k ≥ 30 +7 +7 −12 −12 4k ≤ 32 −9k ≥ 18
or
4 4 k ≤ 8
−9 −9 k ≤ −2
860-2 42Monday, October 14, 13
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Example 1
b. 4k − 7 ≤ 25 or 12− 9k ≥ 30Solve and graph the solution set.
4k − 7 ≤ 25 12− 9k ≥ 30 +7 +7 −12 −12 4k ≤ 32 −9k ≥ 18
or
4 4 k ≤ 8
−9 −9 k ≤ −2
860-2 42Monday, October 14, 13
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Example 1
b. 4k − 7 ≤ 25 or 12− 9k ≥ 30Solve and graph the solution set.
4k − 7 ≤ 25 12− 9k ≥ 30 +7 +7 −12 −12 4k ≤ 32 −9k ≥ 18
or
4 4 k ≤ 8
−9 −9 k ≤ −2
860-2 42Monday, October 14, 13
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Example 1
b. 4k − 7 ≤ 25 or 12− 9k ≥ 30Solve and graph the solution set.
4k − 7 ≤ 25 12− 9k ≥ 30 +7 +7 −12 −12 4k ≤ 32 −9k ≥ 18
or
4 4 k ≤ 8
−9 −9 k ≤ −2
860-2 42Monday, October 14, 13
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Example 1
b. 4k − 7 ≤ 25 or 12− 9k ≥ 30Solve and graph the solution set.
4k − 7 ≤ 25 12− 9k ≥ 30 +7 +7 −12 −12 4k ≤ 32 −9k ≥ 18
or
{k|k ≤ 8} 4 4 k ≤ 8
−9 −9 k ≤ −2
860-2 42Monday, October 14, 13
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Example 1
c. − y + 5 ≥ 9 or 3y + 4 < −5Solve and graph the solution set.
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Example 1
c. − y + 5 ≥ 9 or 3y + 4 < −5Solve and graph the solution set.
−y + 5 ≥ 9
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Example 1
c. − y + 5 ≥ 9 or 3y + 4 < −5Solve and graph the solution set.
−y + 5 ≥ 9 3y + 4 < −5
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Example 1
c. − y + 5 ≥ 9 or 3y + 4 < −5Solve and graph the solution set.
−y + 5 ≥ 9 3y + 4 < −5or
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Example 1
c. − y + 5 ≥ 9 or 3y + 4 < −5Solve and graph the solution set.
−y + 5 ≥ 9 3y + 4 < −5 −5 −5
or
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Example 1
c. − y + 5 ≥ 9 or 3y + 4 < −5Solve and graph the solution set.
−y + 5 ≥ 9 3y + 4 < −5 −5 −5 −y ≥ 4
or
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Example 1
c. − y + 5 ≥ 9 or 3y + 4 < −5Solve and graph the solution set.
−y + 5 ≥ 9 3y + 4 < −5 −5 −5 −y ≥ 4
or
−1 −1
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Example 1
c. − y + 5 ≥ 9 or 3y + 4 < −5Solve and graph the solution set.
−y + 5 ≥ 9 3y + 4 < −5 −5 −5 −y ≥ 4
or
−1 −1 y ≤ −4
Monday, October 14, 13
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Example 1
c. − y + 5 ≥ 9 or 3y + 4 < −5Solve and graph the solution set.
−y + 5 ≥ 9 3y + 4 < −5 −5 −5 −4 −4 −y ≥ 4
or
−1 −1 y ≤ −4
Monday, October 14, 13
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Example 1
c. − y + 5 ≥ 9 or 3y + 4 < −5Solve and graph the solution set.
−y + 5 ≥ 9 3y + 4 < −5 −5 −5 −4 −4 −y ≥ 4 3y < −9
or
−1 −1 y ≤ −4
Monday, October 14, 13
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Example 1
c. − y + 5 ≥ 9 or 3y + 4 < −5Solve and graph the solution set.
−y + 5 ≥ 9 3y + 4 < −5 −5 −5 −4 −4 −y ≥ 4 3y < −9
or
−1 −1 y ≤ −4
3 3
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Example 1
c. − y + 5 ≥ 9 or 3y + 4 < −5Solve and graph the solution set.
−y + 5 ≥ 9 3y + 4 < −5 −5 −5 −4 −4 −y ≥ 4 3y < −9
or
−1 −1 y ≤ −4
3 3 y < −3
Monday, October 14, 13
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Example 1
c. − y + 5 ≥ 9 or 3y + 4 < −5Solve and graph the solution set.
−y + 5 ≥ 9 3y + 4 < −5 −5 −5 −4 −4 −y ≥ 4 3y < −9
or
−1 −1 y ≤ −4
3 3 y < −3
64-4-6 20Monday, October 14, 13
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Example 1
c. − y + 5 ≥ 9 or 3y + 4 < −5Solve and graph the solution set.
−y + 5 ≥ 9 3y + 4 < −5 −5 −5 −4 −4 −y ≥ 4 3y < −9
or
−1 −1 y ≤ −4
3 3 y < −3
64-4-6 20Monday, October 14, 13
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Example 1
c. − y + 5 ≥ 9 or 3y + 4 < −5Solve and graph the solution set.
−y + 5 ≥ 9 3y + 4 < −5 −5 −5 −4 −4 −y ≥ 4 3y < −9
or
−1 −1 y ≤ −4
3 3 y < −3
64-4-6 20Monday, October 14, 13
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Example 1
c. − y + 5 ≥ 9 or 3y + 4 < −5Solve and graph the solution set.
−y + 5 ≥ 9 3y + 4 < −5 −5 −5 −4 −4 −y ≥ 4 3y < −9
or
−1 −1 y ≤ −4
3 3 y < −3
64-4-6 20Monday, October 14, 13
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Example 1
c. − y + 5 ≥ 9 or 3y + 4 < −5Solve and graph the solution set.
−y + 5 ≥ 9 3y + 4 < −5 −5 −5 −4 −4 −y ≥ 4 3y < −9
or
{y|y < −3} −1 −1 y ≤ −4
3 3 y < −3
64-4-6 20Monday, October 14, 13
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Example 1
d. d − 3 < 6d +12 < 2d + 32Solve and graph the solution set.
Monday, October 14, 13
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Example 1
d. d − 3 < 6d +12 < 2d + 32Solve and graph the solution set.
d − 3 < 6d +12
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Example 1
d. d − 3 < 6d +12 < 2d + 32Solve and graph the solution set.
d − 3 < 6d +12 6d +12 < 2d + 32
Monday, October 14, 13
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Example 1
d. d − 3 < 6d +12 < 2d + 32Solve and graph the solution set.
d − 3 < 6d +12 6d +12 < 2d + 32and
Monday, October 14, 13
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Example 1
d. d − 3 < 6d +12 < 2d + 32Solve and graph the solution set.
d − 3 < 6d +12 6d +12 < 2d + 32 −d −d
and
Monday, October 14, 13
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Example 1
d. d − 3 < 6d +12 < 2d + 32Solve and graph the solution set.
d − 3 < 6d +12 6d +12 < 2d + 32 −d −d
−3 < 5d +12
and
Monday, October 14, 13
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Example 1
d. d − 3 < 6d +12 < 2d + 32Solve and graph the solution set.
d − 3 < 6d +12 6d +12 < 2d + 32 −d −d
−3 < 5d +12
and
−12 −12
Monday, October 14, 13
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Example 1
d. d − 3 < 6d +12 < 2d + 32Solve and graph the solution set.
d − 3 < 6d +12 6d +12 < 2d + 32 −d −d
−3 < 5d +12
and
−12 −12 −15 < 5d
Monday, October 14, 13
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Example 1
d. d − 3 < 6d +12 < 2d + 32Solve and graph the solution set.
d − 3 < 6d +12 6d +12 < 2d + 32 −d −d
−3 < 5d +12
and
5 5
−12 −12 −15 < 5d
Monday, October 14, 13
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Example 1
d. d − 3 < 6d +12 < 2d + 32Solve and graph the solution set.
d − 3 < 6d +12 6d +12 < 2d + 32 −d −d
−3 < 5d +12
and
5 5 −3 < d
−12 −12 −15 < 5d
Monday, October 14, 13
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Example 1
d. d − 3 < 6d +12 < 2d + 32Solve and graph the solution set.
d − 3 < 6d +12 6d +12 < 2d + 32 −d −d
−3 < 5d +12
and
5 5 −3 < d
−12 −12 −15 < 5d
d > −3
Monday, October 14, 13
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Example 1
d. d − 3 < 6d +12 < 2d + 32Solve and graph the solution set.
d − 3 < 6d +12 6d +12 < 2d + 32 −d −d −2d −2d
−3 < 5d +12
and
5 5 −3 < d
−12 −12 −15 < 5d
d > −3
Monday, October 14, 13
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Example 1
d. d − 3 < 6d +12 < 2d + 32Solve and graph the solution set.
d − 3 < 6d +12 6d +12 < 2d + 32 −d −d −2d −2d
−3 < 5d +12 4d +12 < 32
and
5 5 −3 < d
−12 −12 −15 < 5d
d > −3
Monday, October 14, 13
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Example 1
d. d − 3 < 6d +12 < 2d + 32Solve and graph the solution set.
d − 3 < 6d +12 6d +12 < 2d + 32 −d −d −2d −2d
−3 < 5d +12 4d +12 < 32
and
5 5 −3 < d
−12 −12 −15 < 5d
d > −3
−12 −12
Monday, October 14, 13
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Example 1
d. d − 3 < 6d +12 < 2d + 32Solve and graph the solution set.
d − 3 < 6d +12 6d +12 < 2d + 32 −d −d −2d −2d
−3 < 5d +12 4d +12 < 32
and
5 5 −3 < d
−12 −12 −15 < 5d
d > −3
−12 −12 4d < 20
Monday, October 14, 13
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Example 1
d. d − 3 < 6d +12 < 2d + 32Solve and graph the solution set.
d − 3 < 6d +12 6d +12 < 2d + 32 −d −d −2d −2d
−3 < 5d +12 4d +12 < 32
and
5 5 −3 < d
4 4
−12 −12 −15 < 5d
d > −3
−12 −12 4d < 20
Monday, October 14, 13
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Example 1
d. d − 3 < 6d +12 < 2d + 32Solve and graph the solution set.
d − 3 < 6d +12 6d +12 < 2d + 32 −d −d −2d −2d
−3 < 5d +12 4d +12 < 32
and
5 5 −3 < d
4 4 d < 5
−12 −12 −15 < 5d
d > −3
−12 −12 4d < 20
Monday, October 14, 13
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Example 1
d. d − 3 < 6d +12 < 2d + 32Solve and graph the solution set.
d − 3 < 6d +12 6d +12 < 2d + 32 −d −d −2d −2d
−3 < 5d +12 4d +12 < 32
and
5 5 −3 < d
4 4 d < 5
64-4-6 20
−12 −12 −15 < 5d
d > −3
−12 −12 4d < 20
Monday, October 14, 13
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Example 1
d. d − 3 < 6d +12 < 2d + 32Solve and graph the solution set.
d − 3 < 6d +12 6d +12 < 2d + 32 −d −d −2d −2d
−3 < 5d +12 4d +12 < 32
and
5 5 −3 < d
4 4 d < 5
64-4-6 20
−12 −12 −15 < 5d
d > −3
−12 −12 4d < 20
Monday, October 14, 13
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Example 1
d. d − 3 < 6d +12 < 2d + 32Solve and graph the solution set.
d − 3 < 6d +12 6d +12 < 2d + 32 −d −d −2d −2d
−3 < 5d +12 4d +12 < 32
and
5 5 −3 < d
4 4 d < 5
64-4-6 20
−12 −12 −15 < 5d
d > −3
−12 −12 4d < 20
Monday, October 14, 13
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Example 1
d. d − 3 < 6d +12 < 2d + 32Solve and graph the solution set.
d − 3 < 6d +12 6d +12 < 2d + 32 −d −d −2d −2d
−3 < 5d +12 4d +12 < 32
and
5 5 −3 < d
4 4 d < 5
64-4-6 20
−12 −12 −15 < 5d
d > −3
−12 −12 4d < 20
Monday, October 14, 13
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Example 1
d. d − 3 < 6d +12 < 2d + 32Solve and graph the solution set.
d − 3 < 6d +12 6d +12 < 2d + 32 −d −d −2d −2d
−3 < 5d +12 4d +12 < 32
and
{d|−3 < d < 5} 5 5 −3 < d
4 4 d < 5
64-4-6 20
−12 −12 −15 < 5d
d > −3
−12 −12 4d < 20
Monday, October 14, 13
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Example 2
A ski resort has several types of hotel rooms and cabins. The hotel rooms cost at most $89 per night and the cabins cost at least $109 per
night. Write and graph a compound inequality that describes the amount a guest would pay per night at the resort.
Monday, October 14, 13
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Example 2
A ski resort has several types of hotel rooms and cabins. The hotel rooms cost at most $89 per night and the cabins cost at least $109 per
night. Write and graph a compound inequality that describes the amount a guest would pay per night at the resort.
c = cost per night
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Example 2
A ski resort has several types of hotel rooms and cabins. The hotel rooms cost at most $89 per night and the cabins cost at least $109 per
night. Write and graph a compound inequality that describes the amount a guest would pay per night at the resort.
c = cost per nightRoom
Monday, October 14, 13
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Example 2
A ski resort has several types of hotel rooms and cabins. The hotel rooms cost at most $89 per night and the cabins cost at least $109 per
night. Write and graph a compound inequality that describes the amount a guest would pay per night at the resort.
c = cost per nightRoom Cabin
Monday, October 14, 13
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Example 2
A ski resort has several types of hotel rooms and cabins. The hotel rooms cost at most $89 per night and the cabins cost at least $109 per
night. Write and graph a compound inequality that describes the amount a guest would pay per night at the resort.
c = cost per nightRoom Cabin
c ≤ 89
Monday, October 14, 13
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Example 2
A ski resort has several types of hotel rooms and cabins. The hotel rooms cost at most $89 per night and the cabins cost at least $109 per
night. Write and graph a compound inequality that describes the amount a guest would pay per night at the resort.
c = cost per nightRoom Cabin
c ≤ 89 c ≥ 109
Monday, October 14, 13
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Example 2
A ski resort has several types of hotel rooms and cabins. The hotel rooms cost at most $89 per night and the cabins cost at least $109 per
night. Write and graph a compound inequality that describes the amount a guest would pay per night at the resort.
c = cost per nightRoom Cabin
c ≤ 89 c ≥ 109
1101069490 1029886Monday, October 14, 13
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Example 2
A ski resort has several types of hotel rooms and cabins. The hotel rooms cost at most $89 per night and the cabins cost at least $109 per
night. Write and graph a compound inequality that describes the amount a guest would pay per night at the resort.
c = cost per nightRoom Cabin
c ≤ 89 c ≥ 109
1101069490 1029886Monday, October 14, 13
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Example 2
A ski resort has several types of hotel rooms and cabins. The hotel rooms cost at most $89 per night and the cabins cost at least $109 per
night. Write and graph a compound inequality that describes the amount a guest would pay per night at the resort.
c = cost per nightRoom Cabin
c ≤ 89 c ≥ 109
1101069490 1029886Monday, October 14, 13
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Example 2
A ski resort has several types of hotel rooms and cabins. The hotel rooms cost at most $89 per night and the cabins cost at least $109 per
night. Write and graph a compound inequality that describes the amount a guest would pay per night at the resort.
c = cost per nightRoom Cabin
c ≤ 89 c ≥ 109
1101069490 1029886Monday, October 14, 13
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Example 2
A ski resort has several types of hotel rooms and cabins. The hotel rooms cost at most $89 per night and the cabins cost at least $109 per
night. Write and graph a compound inequality that describes the amount a guest would pay per night at the resort.
c = cost per nightRoom Cabin
c ≤ 89 c ≥ 109
{c|c ≤ 89 or c ≥ 109}
1101069490 1029886Monday, October 14, 13
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Example 3
Write a compound inequality and solve.
a. Eight less than a number is no more than fourteen and no less than five.
Monday, October 14, 13
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Example 3
Write a compound inequality and solve.
a. Eight less than a number is no more than fourteen and no less than five.
n = number
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Example 3
Write a compound inequality and solve.
a. Eight less than a number is no more than fourteen and no less than five.
n = number
n− 8 ≤ 14
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Example 3
Write a compound inequality and solve.
a. Eight less than a number is no more than fourteen and no less than five.
n = number
n− 8 ≤ 14 n− 8 ≥ 5
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Example 3
Write a compound inequality and solve.
a. Eight less than a number is no more than fourteen and no less than five.
n = number
n− 8 ≤ 14 n− 8 ≥ 5 +8 +8
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Example 3
Write a compound inequality and solve.
a. Eight less than a number is no more than fourteen and no less than five.
n = number
n− 8 ≤ 14 n− 8 ≥ 5 +8 +8
n ≤ 22
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Example 3
Write a compound inequality and solve.
a. Eight less than a number is no more than fourteen and no less than five.
n = number
n− 8 ≤ 14 n− 8 ≥ 5 +8 +8 +8 +8
n ≤ 22
Monday, October 14, 13
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Example 3
Write a compound inequality and solve.
a. Eight less than a number is no more than fourteen and no less than five.
n = number
n− 8 ≤ 14 n− 8 ≥ 5 +8 +8 +8 +8
n ≤ 22 n ≥ 13
Monday, October 14, 13
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Example 3
Write a compound inequality and solve.
a. Eight less than a number is no more than fourteen and no less than five.
n = number
n− 8 ≤ 14 n− 8 ≥ 5 +8 +8 +8 +8
n ≤ 22 n ≥ 13
{n|13 ≤ n ≤ 22}
Monday, October 14, 13
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Example 3
Write a compound inequality and solve.
b. The product of negative five and a number is greater than thirty five or less than ten.
Monday, October 14, 13
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Example 3
Write a compound inequality and solve.
b. The product of negative five and a number is greater than thirty five or less than ten.
n = number
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Example 3
Write a compound inequality and solve.
b. The product of negative five and a number is greater than thirty five or less than ten.
n = number
−5n > 35
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Example 3
Write a compound inequality and solve.
b. The product of negative five and a number is greater than thirty five or less than ten.
n = number
−5n > 35 −5n < 10
Monday, October 14, 13
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Example 3
Write a compound inequality and solve.
b. The product of negative five and a number is greater than thirty five or less than ten.
n = number
−5n > 35 −5n < 10 −5 −5
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Example 3
Write a compound inequality and solve.
b. The product of negative five and a number is greater than thirty five or less than ten.
n = number
−5n > 35 −5n < 10
n < −7 −5 −5
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Example 3
Write a compound inequality and solve.
b. The product of negative five and a number is greater than thirty five or less than ten.
n = number
−5n > 35 −5n < 10
n < −7 −5 −5 −5 −5
Monday, October 14, 13
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Example 3
Write a compound inequality and solve.
b. The product of negative five and a number is greater than thirty five or less than ten.
n = number
−5n > 35 −5n < 10
n < −7 n > −2 −5 −5 −5 −5
Monday, October 14, 13
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Example 3
Write a compound inequality and solve.
b. The product of negative five and a number is greater than thirty five or less than ten.
n = number
−5n > 35 −5n < 10
n < −7 n > −2
{n|n < −7 or n > −2}
−5 −5 −5 −5
Monday, October 14, 13
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Summarizer
Write a compound inequality for which the graph is the empty set and one for which the graph is the set of all real numbers.
Monday, October 14, 13
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Problem Sets
Monday, October 14, 13
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Problem Sets
Problem Set 1: p. 306 #1-5 all, 7-15 odd
Problem Set 2: p. 306 #16, 17-27 odd, 28, 29, 31, 33-36 all
“It is always easier to believe than to deny. Our minds are naturally affirmative."- John Burroughs
Monday, October 14, 13