\(\left|x+1\right|\le4\)
\(\Leftrightarrow-4\le x+1\le4\)
\(\Leftrightarrow-5\le x\le3\)
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\(\left|x+1\right|\le4\)
\(\Leftrightarrow-4\le x+1\le4\)
\(\Leftrightarrow-5\le x\le3\)