Algebra 1

Published by Prentice Hall

Chapter 3 - Solving Inequalities - 3-4 Solving Multi-Step Inequalities - Lesson Check - Page 189: 8

Answer

If the inequality symbol were $\geq$, the solution would be all real numbers because the inequality would simplify to $-6\geq-6$, which is always true.

Work Step by Step

Solve the inequality. $-2(3-x)\gt 2x-6$ $\longrightarrow$ multiply using the distributive property $-6+2x\gt2x-6$ $\longrightarrow$ subtract 2x from both sides $-6+2x-2x\gt2x-6-2x$ $\longrightarrow$ combine like terms $-6\gt-6$ Since the above is not true, the inequality has no solution.

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