Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 3 - Solving Inequalities - 3-4 Solving Multi-Step Inequalities - Practice and Problem-Solving Exercises - Page 190: 21



Work Step by Step

30>−(5z+15)+10z ⟶ multiply (by -1) using the distributive property 30>−5z−15+10z ⟶ combine like terms 30>5z−15 ⟶ add 15 to both sides 30+15>5z−15+15 45>5z ⟶ divide both sides by 5 45÷5>5z÷5 ⟶ simplify 9>z Check the inequality. 30>−(5(0)+15)+10(0) 30>−(0+15)+0 30>−15✓
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