3.2 Solving Inequalities Using Addition or

SubtractionI can use addition or subtraction to

solve inequalities.

Equivalent InequalitiesO Just as you used properties of

equality, you can use properties of inequality.

O Equivalent inequalities are inequalities that have the same solutions.

Addition and Subtraction Properties of Inequality

O If a < bO a + c < b + c O a - c < b - c

O If a > bO a + c > b + c O a - c > b - c

ExamplesO x – 15 > -12O x – 15 + 15 > -12 + 15 O x > 3

O t + 6 > - 4

Writing and SolvingO The hard drive on your computer has a

capacity of 120 GB. You have used 85 GB and want to save some home videos to your hard drive . What are the possible sizes of the home video collection you can save?

O Subtract 85: v ≤ 35O The home videos can be any size less than

or equal to 35 GB.

AssignmentO ODDS OnlyO P. 174 #19-27, 33-43, 55-61