# What is the solution to the inequality #-6(4-x) <= -4(x+1)#?

##### 1 Answer

Aug 31, 2015

#### Explanation:

Use the distributive property of multiplcation to expand the parantheses

#-6 * 4 - 6 * (-x) <= -4 * x -4 * 1#

#-24 + 6x <= -4x - 4#

Rearrange the inequality to get a single

#6x + 4x <= -4 + 24#

#10x <= 20#

This is equivalent to

#x <= 2#

So, for any value of