# How do you solve the inequality 2x - 8< 7?

Jul 1, 2016

$x < 7.5$

#### Explanation:

What I would do is add 8 to both sides of the expression to cancel out the 8 on the left hand side and to get 2x by itself like this:

$2 x - 8 < 7$
$+ 8 + 8$

When you do that you should get

$2 x < 15$

Now divide both sides by 2 to get x by itself like this:

$\frac{2 x}{2} < \frac{15}{2}$

When you do that division you're left with x on the left hand side and 7.5 on the right hand side, with a less than sign separating them like this:

$x < 7.5$