# How do you solve abs(6x)<6?

Oct 31, 2016

$| 6 x | < 6$

Is the same as:

$| 6 | | x | < 6$

And $| 6 | = 6$:

$6 | x | < 6$

Divide both sides of the equation by 6:

$| x | < 1$

Let's see the graph $y = | x |$ or draw it:

graph{|x| [-10, 10, -5, 5]}

Now, for y to be less than 1, what does x have to be ?

Well it turns out that x has to be greater than minus 1 but less than 1. This is your answer.