How do you solve abs(x-8)<=5?

Aug 10, 2016

$3 \le x \le 13$

Explanation:

$x - 8 \le 5$
or
$x \le 8 + 5$
or
$x \le 13$

Now consider
$x - 8 \ge - 5$
or
$x \ge 8 - 5$
or
$x \ge 3$
Therefore
The value of $x$ lies between $3$ and $13$ including $3$ and $13$
So we can write
$3 \le x \le 13$