# How do you solve the inequality -5(k+ 4)>3(k-4)?

Jan 7, 2016

k < - 1

#### Explanation:

first I'm going to reverse the inequality so that there is not a leading - sign.
When this is done the inequality symbol must be reversed.

# 3(k - 4 ) < - 5(k + 4 )

now multiply out the brackets.

$\Rightarrow 3 k - 12 < - 5 k - 20$

now collect like terms.

3k + 5k < - 20 + 12

$\Rightarrow 8 k < - 8$

now divide both sides by 8.

$\Rightarrow k < - 1$