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Pearson Algebra 1 Common Core, 2011

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Pearson Algebra 1 Common Core, 2011 View details

4. Solving Multi-Step Inequalities

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Exercise 32 Page 190

Isolate x by first utilizing the Distributive Property.

No solution.

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. For this exercise, distribute 2 on the right-hand side and simplify the terms to isolate x.

9+2x<7+2(x-3)

Distribute 2

9+2x<7+2x-6

LHS-2x

9<7-6

Subtract term

9<1

Since this expression is always false, the given inequality has no solution.

Subchapter links

Lesson Check p.189

Practice and Problem-Solving Exercises p.190-192

Standardized Test Prep p.192

Mixed Review p.192