# How do you solve and write the following in interval notation: -7x-2< -8x-6?

Apr 27, 2017

$\left(- \infty , - 4\right)$

#### Explanation:

Given: $- 7 x - 2 < - 8 x - 6$

Add $8 x$ to both sides of the inequality:

$- 7 x - 2 + 8 x < \cancel{- 8 x} - 6 + \cancel{8 x}$

Simplify:

$x - 2 < - 6$

Add #2@ to both sides of the inequality:

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

Simplify:

$x < - 4$

Interval notation: $\left(- \infty , - 4\right)$