# How do you solve the inequality 7 + x + 10 < -2?

Dec 2, 2015

$x < - 19$.

#### Explanation:

$7 + x + 10 < - 2$.
$7$ and $10$ can be added. So,
$x + 17 < - 2$.
Like we would do in normal algebra, we pass $+ 17$ to the right, so,
$x < - 2 - 17$,
$x < - 19$.
We do not change the $<$ sign in any moment because $x$ doesn't change sign.