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

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Answer 1 · 2016-10-31T20:19:40

#|6x|<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.