Question

This is the linear inequality that I have to solve:
2 − 3x < | x − 3|
My notes tell me that I have to square both sides to obtain the answer. What is the rationale behind this?

Answer 1

when you square a (real) number you always get a positive answer

the absolute value of a expression gives the positive bit and disregards the sign
ie positive becomes positive,& negative becomes positive

Answer 2

Just look at the graph to see how you do it by hand,