Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 3 - Section 3.3 - Graphing Linear Functions - Exercise Set: 62

Answer

$(-∞,-\frac{3}{7}]U[1,∞)$

Work Step by Step

We are given that $|7x-2|\geq5$, so we know that $7x-2\geq5$ or $7x-2\leq-5$. We can solve these equations to find solutions for x. For $7x-2\geq5$, add 2 to both sides. $7x\geq7$ Divide both sides by 7. $x\geq1$ For $7x-2\leq-5$, add 2 to both sides. $7x\leq-3$ Divide both sides by 7. $x\leq-\frac{3}{7}$
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