If there is nothing mentioned about x, for x=0, this is false. For -ve integer values of x, it is true and for positive values it is true.
Can you please post the whole question?
This is the original question:
Find the solution set for the following inequalities |3x-2|<=|2x-5|
The first step of the explanatory answer for this question from 4gmat ebook is squaring both sides to get rid of the absolute value sign.
However, I read once that
"Another way to eliminate an absolute value is to square both sides of the equation. Taking the absolute value makes things non-negative, and squaring makes things non-negative. So, if you square something, you no longer need to take its absolute value. However, be careful when squaring both sides of an equation as this can lead to extraneous solutions."
Thus, I would like to know if there's an approach other than squaring both sides.
Let me know if you want to see the OE.