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: 17

Answer

k≥1

Work Step by Step

3(k−5)+9k≥−3 ⟶ multiply using the distributive property 3k−15+9k≥−3 ⟶ combine like terms; add 15 to both sides 12k−15+15≥−3+15 ⟶ simplify 12k≥12 ⟶ divide both sides by 12 12k÷12≥12÷12 ⟶ simplify k≥1 Check endpoint. 3(1−5)+9(1)=−3 3(−4)+9=−3 −12+9=−3 −3=−3✓ Check inequality. 3(5−5)+9(5)≥−3 3(0)+45≥−3 0+45≥−3 45≥−3✓
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