Determine whether each statement is always, sometimes, or never true

Question

Determine whether each statement is always, sometimes, or never true

|x|=|-x|

|x|=-|x|

|-x|=-|x|

Answer 1

l x l = l -x l is ALWAYS true

l x l = - l x l is SOMETIMES true (it's true for x = 0, false otherwise)

l -x l = - l x l is SOMETIMES true (it's true when x = 0, false otherwise)