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Pearson Algebra 1 Common Core, 2011 View details

4. Solving Multi-Step Inequalities

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Exercise 62 Page 192

How can you isolate m?

m≤-4

Practice makes perfect

We can solve inequalities in almost the same way as equations. The only difference is that we need to remember to flip the inequality sign when multiplying or dividing by a negative value.

-9m≥36

DivNegIneq

Divide by -9 and flip inequality sign

m≤-4

This inequality tells us that all values less than or equal to -4 will satisfy the inequality.

Checking Our Answer

To check our answer, let's use the given inequality to test a few values in a table.

m	-9m≥36	Simplify	True or False?
-7	-9( -7)? ≥36	63≥36	True
-4	-9( -4)? ≥36	36≥36	True
-2	-9( -2)? ≥36	18≱36	False

Notice how the values less than or equal to - 4 satisfy the inequality.

Subchapter links

Lesson Check p.189

Practice and Problem-Solving Exercises p.190-192

Standardized Test Prep p.192

Mixed Review p.192

Exercise 62 Page 192

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Practice exercises

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Checking Our Answer