math on the mind solve each inequality. graph the solutions. 1.p – 7 –52.w – 3 < –9 3.x +...

Math on the Mind olve each inequality. Graph the solutions. 1. p – 7 –5 2. w – 3 < –9 3. x + 6 > 4 4. 13 9 + h > > p 2 > w < –6 x > –2 < 4 h, or h 4 >

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Math on the Mind

Solve each inequality. Graph the solutions.

1. p – 7 –5 2. w – 3 < –9

3. x + 6 > 4 4. 13 9 + h

p 2> w < –6

x > –2 <4 h, or h 4>

Solving One-Step InequalitiesMultiplication and Division

Unit 6

Lesson 3

hrsbstaff.ednet.ns.ca/matkins/.../PowerPoints/6.1%20Inequalities.ppt

Page 3: Math on the Mind Solve each inequality. Graph the solutions. 1.p – 7 –52.w – 3 < –9 3.x + 6 > 44.13 9 + h > > p 2 > w < –6 x > –2 < 4 h, or h 4

THE TRICK…..

When you multiply or divide each side of an inequality by a negative number, you must reverse the inequality symbol.

hrsbstaff.ednet.ns.ca/matkins/.../PowerPoints/6.1%20Inequalities.ppt

Page 4: Math on the Mind Solve each inequality. Graph the solutions. 1.p – 7 –52.w – 3 < –9 3.x + 6 > 44.13 9 + h > > p 2 > w < –6 x > –2 < 4 h, or h 4

Solving Using Division

93 x

3x3 3

hrsbstaff.ednet.ns.ca/matkins/.../PowerPoints/6.1%20Inequalities.ppt

Page 5: Math on the Mind Solve each inequality. Graph the solutions. 1.p – 7 –52.w – 3 < –9 3.x + 6 > 44.13 9 + h > > p 2 > w < –6 x > –2 < 4 h, or h 4

Solving by dividing by a negative #

62 x

-2 -2

hrsbstaff.ednet.ns.ca/matkins/.../PowerPoints/6.1%20Inequalities.ppt

Page 6: Math on the Mind Solve each inequality. Graph the solutions. 1.p – 7 –52.w – 3 < –9 3.x + 6 > 44.13 9 + h > > p 2 > w < –6 x > –2 < 4 h, or h 4

Solve –4c < 24. Graph the solution.

c > –6

–4

Page 7: Math on the Mind Solve each inequality. Graph the solutions. 1.p – 7 –52.w – 3 < –9 3.x + 6 > 44.13 9 + h > > p 2 > w < –6 x > –2 < 4 h, or h 4

z > –6

3 > 3(–2)z3( )

Solve > –2. Graph the solution.

Page 8: Math on the Mind Solve each inequality. Graph the solutions. 1.p – 7 –52.w – 3 < –9 3.x + 6 > 44.13 9 + h > > p 2 > w < –6 x > –2 < 4 h, or h 4

A. –3y 15

y –5

B. 7m < 21

m < 3

Example 5:

Solve and graph.

0 3–3 5

–3 –3

7 7

–7 –5 0 4

www.ezwebsite.org/Photos/files1778/4CH2L5.ppt

Page 9: Math on the Mind Solve each inequality. Graph the solutions. 1.p – 7 –52.w – 3 < –9 3.x + 6 > 44.13 9 + h > > p 2 > w < –6 x > –2 < 4 h, or h 4

A. –8y 24

y –3

B. 9f > -45

f > -5

Example 6:

–8 –8

9 9

–3 0–7 4

-10 -5 0

Solve and graph.

www.ezwebsite.org/Photos/files1778/4CH2L5.ppt

Page 10: Math on the Mind Solve each inequality. Graph the solutions. 1.p – 7 –52.w – 3 < –9 3.x + 6 > 44.13 9 + h > > p 2 > w < –6 x > –2 < 4 h, or h 4

Who uses inequalities?

Page 11: Math on the Mind Solve each inequality. Graph the solutions. 1.p – 7 –52.w – 3 < –9 3.x + 6 > 44.13 9 + h > > p 2 > w < –6 x > –2 < 4 h, or h 4

Your family budgets $160 to spend on fuel for a trip. How many times can they fill the car’s gas tank if it cost $25 each time?

Your family can fill the car’s tank at most 6 times.

Define: Let = the number of tanks of gas.t

25t 160< 25

t 6.4<

Page 12: Math on the Mind Solve each inequality. Graph the solutions. 1.p – 7 –52.w – 3 < –9 3.x + 6 > 44.13 9 + h > > p 2 > w < –6 x > –2 < 4 h, or h 4

The cost of a gallon of orange juice is $3.50. What is the maximum number of containers you can buy for $15?

Page 13: Math on the Mind Solve each inequality. Graph the solutions. 1.p – 7 –52.w – 3 < –9 3.x + 6 > 44.13 9 + h > > p 2 > w < –6 x > –2 < 4 h, or h 4

• Four times a number is greater than 48. What are the possible values for the number?

Page 14: Math on the Mind Solve each inequality. Graph the solutions. 1.p – 7 –52.w – 3 < –9 3.x + 6 > 44.13 9 + h > > p 2 > w < –6 x > –2 < 4 h, or h 4

• The quotient of a number and 15 is no greater than 450. What are the possible values for the number?

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