Solving Inequalities Using Multiplication or Division

1
Solving Inequalities Using Multiplication or
Division
6.2

• Goal
• Solve and graph one-step inequalities in one
  variable using multiplication or division
• Key Words
• multiplication property of inequality
• division property of inequality

2
PROPERTIES OF INEQUALITY
Multiplication Property of Inequality (c gt 0) For
all real numbers a, b, and for c gt 0 If a gt b,
then ac gt bc If a lt b, then ac lt bc
Division Property of Inequality (c gt 0) For all
real numbers a, b, and c gt 0 If a gt b, then a
c gt b c If a lt b, then a c lt b c
3

• Multiply by a Positive Number

4

• Divide by a Positive Number

Solve 4x gt 20 Then graph the solution.
5
Solve the inequality. Then graph the solution

1. 18 ? 2k

1. -21 ? 3y

6
PROPERTIES OF INEQUALITY
Multiplication Property of Inequality (c lt 0) For
all real numbers a, b, and for c lt 0 If a gt b,
then ac lt bc If a lt b, then ac gt bc
Division Property of Inequality (c lt 0) For all
real numbers a, b, and c lt 0 If a gt b, then a
c lt b c If a lt b, then a c gt b c
7

• Multiply by a Negative Number

8

• Divide by a Negative Number

9

• Divide by a Negative Number

10
Solve the inequality. Then graph the solution

11
Solve the inequality. Then graph the solution

1. -14z ? -70

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Homework p. 333 16-26e, 36-46e, 59-61 (15
problems)