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 - Lesson Check - Page 189: 8

Answer

If the inequality symbol were ≥, the solution would be all real numbers because the inequality would simplify to −6≥−6, which is always true.

Work Step by Step

Solve the inequality. −2(3−x)>2x−6 ⟶ multiply using the distributive property −6+2x>2x−6 ⟶ subtract 2x from both sides −6+2x−2x>2x−6−2x ⟶ combine like terms −6>−6 Since the above is not true, the inequality has no solution.
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