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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 22 Page 190

Remember that whenever we multiply or divide an inequality by a negative number, we need to flip the inequality sign.

d<-4

Practice makes perfect

We solve inequalities similarly to how we solve equations. Let's begin by using the Distributive Property. Remember that whenever we multiply or divide an inequality by a negative, we need to flip the sign.

-4(d+5)-3d>8

Distribute -4

-4d-20-3d>8

Subtract term

-7d-20>8

LHS+20>RHS+20

-7d>28

Divide by -7 and flip inequality sign

d<-4

The solution set includes all real numbers less than -4.

Subchapter links

Lesson Check p.189

Practice and Problem-Solving Exercises p.190-192

Standardized Test Prep p.192

Mixed Review p.192