Answer
$$x\leq 10
.$$
Work Step by Step
By adding $-4$ to both sides of the inequality $4-x\geq -6$ and then dividing by (-1), we have
$$
4-x\geq -6 \Longrightarrow -x\geq -10 \Longrightarrow x\leq 10
.$$
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 582: 32
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