Question

Graph the inequality y<2|x-1|-2​

Answer 1

y<2x-4

y<-2x

Explanation:

Since we are dealing with and inequality we need to remember the following tips.

We no obtain values from inequalities, we obtain ranges.

If y<f(x), the range of variable y resides below de graph of f(x), but if y>f(x), the range is above.

y<2|x-1|-2​

Gives two functions.

first'

y<2(x-1)-2 if x>1 and

y<-2(x-1)-2 if x<1

First equation turns in y<2x-4 and the second y<-2x

Two line going in different directions