True or False and why:

|-x| = x, x<0

3 answers

false. the left side is = positive, regardless of x value. Right side is positive only if x>0.
| - x |² = x²

x = ± √ x²

x = ± x

| x |² = x²

x = ± √ x²

x = ± x

This mean | - x | = | x |

For x < 0

| - x | = | x |

| - x | < 0

For x > 0

| - x | = x

| - x | > 0

False.
@Bosnian & @bobpursley

Thank you so much for the help. I really appreciate it because I am kind of struggling with Absolute Values.