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6.2 Solving Inequalities Using Multiplication and Division

Author: Colin S

Table

 

Equation

Added to Both Sides

New Equation

True or False

10 > 8

+3

13 > 11

True

10 > 8

-7

3 > 1

True

10 > 8

* 2

20 > 16

True

4 < 6

/4

1 < 1½

True

4 < 6

*-3

-12 <  -18

False

4 < 6

/-6

-2/3 <  -1

False

Source: Mr. Hennen

Rule

When multiplying or dividing by a negative number, you must reverse the inequality symbol.

Source: Mr. Hennen

Problem Solving