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Solving Inequalities Using Multiplication or Division

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Title: Solving Inequalities Using Multiplication or Division Author: Janet Kagan Last modified by: scalahan Created Date: 2/22/2005 2:37:16 AM Document presentation ... – PowerPoint PPT presentation

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Title: 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

12
Homework p. 333 16-26e, 36-46e, 59-61 (15
problems)
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