Answer
$x\leq 25$
Work Step by Step
By combining the like terms of the inequality $\frac{3x+2}{7}\geq x-14$, we have
$$
3x+2\geq 7x-98\Longrightarrow 4 x\leq 100 \Longrightarrow x\leq 25
.$$
See the figure below.
Elementary Technical Mathematics
by Nelson, Robert; Eren, Dale;
Published by
Brooks Cole
ISBN 10:
1285199197
ISBN 13:
978-1-28519-919-1
Appendix C - Simple Inequalities - Exercise - Page 583: 48
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