Answer
Choice E
Work Step by Step
Since $|x|\le c$ implies $-c\le x\le c,$ then the the given inequality, $
|2x+1|\le3
,$ is equivalent to
\begin{array}{l}\require{cancel}
-3\le 2x+1\le3
.\end{array}
Hence, $\text{
Choice E
.}$
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