# How do you solve 8( x + 11) > 32?

Mar 16, 2017

$x > - 7$

#### Explanation:

The first step is to distribute the bracket.

$\Rightarrow 8 x + 88 > 32$

subtract 88 from both sides of the inequality.

$8 x \cancel{+ 88} \cancel{- 88} > 32 - 88$

$\Rightarrow 8 x > - 56$

divide both sides by 8

$\frac{\cancel{8} x}{\cancel{8}} = \frac{- 56}{8}$

$\Rightarrow x > - 7 \text{ is the solution}$

Mar 16, 2017

$x > - 7$

#### Explanation:

$8 \left(x + 11\right) > 32$

$8 x + 88 > 32$

$8 x > 32 - 88$

$8 x > - 56$

$\frac{\cancel{8} x}{\cancel{8}} > - \frac{56}{8}$

$x > - 7$