Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter P - Section P.7 - Equations - Exercise Set: 45

Answer

$\left\{-2, 3\right\}$

Work Step by Step

RECALL: $|x|=a \longrightarrow x=a \text{ or } x = -a$ Use the rule above to obtain: $2x-1 = 5 \text{ or } 2x-1 = -5$ Solve each equation to obtain: $2x = 5+1 \text{ or } 2x = -5 +1 \\2x = 6 \text{ or } 2x =-4 \\x = \frac{6}{2} \text{ or } x = \frac{-4}{2} \\x=3 \text{ or } x = -2$ Thus, the solution set is $\left\{-2, 3\right\}$.
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