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: 20

Answer

2≤y

Work Step by Step

−4≤4(6y−12)−2y ⟶ multiply using the distributive property −4≤24y−48−2y ⟶ combine like terms −4≤22y−48 ⟶ add 48 to both sides −4+48≤22y−48+48 ⟶ simplify 44≤22y ⟶ divide both sides by 22 44÷22≤22y÷22 ⟶ simplify 2≤y Check the endpoint. −4=4(6(2)−12)−2(2) −4=4(12−12)−4 −4=4(0)−4 −4=−4✓ Check the inequality. −4
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