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Pearson Algebra 1 Common Core, 2011 View details

4. Solving Multi-Step Inequalities

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Exercise 65 Page 192

What can you do to isolate a variable in an inequality?

t≥-3

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.

-t/3≤1

MoveNegFracToDenom

Put minus sign in denominator

t/-3≤1

MultNegIneq

Multiply by -3 and flip inequality sign

t≥-3

This inequality tells us that all values greater than or equal to -3 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.

t	-t/3≤1	Simplify	True or False?
-6	-( -6)/3? ≤1	2≰1	False
-3	-( -3)/3? ≤1	1≤1	True
0	-( 0)/3? ≤1	0≤1	True

Notice how the values greater than or equal to - 3 make the inequality true.

Subchapter links

Lesson Check p.189

Practice and Problem-Solving Exercises p.190-192

Standardized Test Prep p.192

Mixed Review p.192

Exercise 65 Page 192

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Checking Our Answer