How do you solve 5<x-10 <8?

Oct 18, 2017

X is greater than 15 but less than 18.

Explanation:

You would have to isolate x by adding 10 to all three parts of the inequality. So,
$5 + 10 < x - 10 + 10 < 8 + 10$
$15 < x < 18$

Oct 18, 2017

$15 < x < 18$

Explanation:

First, add 10 to all parts of the inequality.

$5 < x - 10 < 8$

$5 + \textcolor{red}{10} < x - 10 + \textcolor{red}{10} < 8 + \textcolor{red}{10}$

$15 < x < 18$

This gives us an inequality directly in terms of $x$, so it is solved!