solving two-step inequalities pre-algebra lesson 7-6 solve each inequality. graph the solutions. 1.w...
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Solving Two-Step InequalitiesSolving Two-Step InequalitiesPRE-ALGEBRA LESSON 7-6PRE-ALGEBRA LESSON 7-6
Solve each inequality. Graph the solutions.
1. w + 4 –5 2. 7 < z – 3
3. 4 > a + 6 4. x – 5 –6
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(For help, go to Lesson 2-9.)
Check Skills You’ll Need
7-6
Solving Two-Step InequalitiesSolving Two-Step InequalitiesPRE-ALGEBRA LESSON 7-6PRE-ALGEBRA LESSON 7-6
Solutions
1. w + 4 –5 2. 7 < z – 3w + 4 – 4 –5 – 4 7 + 3 < z – 3 + 3 w –9 10 < z
z > 10
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3. 4 > a + 6 4. x – 5 –64 – 6 > a + 6 – 6 x – 5 + 5 –6 + 5 –2 > a x –1 a < –2
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7-6
Solving Two-Step InequalitiesSolving Two-Step Inequalities
Solve and graph 7g + 11 > 67.
PRE-ALGEBRA LESSON 7-6PRE-ALGEBRA LESSON 7-6
7g + 11 > 67
7g + 11 – 11 > 67 – 11 Subtract 11 from each side.
7g > 56 Simplify.
g > 8 Simplify.
Divide each side by 7.>7g7
567
Quick Check
7-6
Solving Two-Step InequalitiesSolving Two-Step Inequalities
Solve 6 – r – 6.
PRE-ALGEBRA LESSON 7-6PRE-ALGEBRA LESSON 7-6
< 23
6 – r – 6<23
6 + 6 – r – 6 + 6< 23
Add 6 to each side.
Simplify.12 – r< 23
Simplify.>–18 r, or r –18<
32– (12)
32–
23– r Multiply each side by . Reverse the direction of
the inequality symbol.
32
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Quick Check
7-6
Solving Two-Step InequalitiesSolving Two-Step Inequalities
Dale has $25 to spend at a carnival. If the admission to
the carnival is $4 and the rides cost $1.50 each, what is the
greatest number of rides Dale can go on?
PRE-ALGEBRA LESSON 7-6PRE-ALGEBRA LESSON 7-6
25Inequality 4 + •1.5 r <
Let = number of rides Dale goes on.
Words $4 admission + $1.50/ridenumberof rides
is less thanor equal to
$25•
r
7-6
Solving Two-Step InequalitiesSolving Two-Step Inequalities
(continued)
PRE-ALGEBRA LESSON 7-6PRE-ALGEBRA LESSON 7-6
The greatest number of rides Dale can go on is 14.
4 + 1.5r 25<
Subtract 4 from each side.4 + 1.5r – 4 25 – 4<
Simplify.1.5r 21<
Divide each side by 1.5.1.5r1.5
211.5<
Simplify.r 14<
Quick Check
7-6
Solving Two-Step InequalitiesSolving Two-Step InequalitiesPRE-ALGEBRA LESSON 7-6PRE-ALGEBRA LESSON 7-6
Solve each inequality.
1. -2m + 4 34
2. 5a - 9 > 11
a > 4
7-6
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m 15>