Elementary Technical Mathematics

Published by Brooks Cole
ISBN 10: 1285199197
ISBN 13: 978-1-28519-919-1

Appendix C - Simple Inequalities - Exercise - Page 583: 46

Answer

$$x\geq3 .$$ See the figure below.

Work Step by Step

By combining the like terms of the inequality $ -2 (2 -x) \geq -(2x -8)$, we have $$ -4+2x\geq - 2x+8\Longrightarrow 4x\geq 12\Longrightarrow x\geq3 .$$ See the figure below.
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