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Pearson Algebra 1 Common Core, 2011 View details

4. Solving Multi-Step Inequalities

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Exercise 21 Page 190

Isolate z by first utilizing the Distributive Property.

z<9

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 -1 on the right-hand side and simplify the terms to isolate z.

30>-(5z+15)+10z

Distr

Distribute -1

30>-5z-15+10z

AddTerms

Add terms

30>5z-15

AddIneq

LHS+15>RHS+15

45>5z

DivIneq

.LHS /5.>.RHS /5.