# How do you solve the inequality 2x-6<4?

Nov 20, 2016

$x < 5$

#### Explanation:

To solve this problem you must isolate and solve for $x$ while keeping the inequality balanced.

First, add $6$ to each side of the inequality:

$2 x - 6 + 6 < 4 + 6$

$2 x - 0 < 10$

$2 x < 10$

Next, divide each side of the inequality by 2 in order to get the answer:

$\frac{2 x}{2} < \frac{10}{2}$

$\left(\frac{2}{2}\right) x < 5$

$1 x < 5$

$x < 5$