How do you solve abs[2x-2]<=13?

May 26, 2016

$- 6.5 \le x \le 7.5$

Explanation:

$| 2 x - 2 | \le 13$ is the given inequality

So we can take,

$2 x - 2 \le 13$ -----AND----- $- 13 \le 2 x - 2$

$2 x - 2 \le 13$

$2 x \le 15$

$x \le 7.5$

$- 13 \le 2 x - 2$

$- 11 \le 2 x$

$- 6.5 \le x$

Now since there is an and situation we will use intersection

$- 6.5 \le x \le 7.5$