# Find the value of x that satisfies the inequality. |\frac{x-1}{2}|\leq 1

Find the value of x that satisfies the inequality.
$|\frac{x-1}{2}|\le 1$
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okomgcae
$|\frac{x-1}{2}|\le 1$
set up compound inequality by removing the absolute value
$-1\le \frac{x-1}{2}\le 1$
muttilpying by 2 throughout the inequality
$-2\le x-1\le 2$
$-1\le x\le 3$
$\therefore x\in \left[-1,3\right]$