Which equations have no solution? Check all that apply.

- |x| = 0

|x| = - 15

- |x| = 12

- |-x| = 9

- |-x| = - 2

Remember, |n|≥0 for all real numbers n

so

-|x|=0

times - 1

|x|=0

true, x=0, has a solution

|x|=-15

false, can't have negative absolute value

-|x|=12

|x|=-12

false, no negative absolute value

-|-x|=9

|-x|=-9

false, no negative absolute value

-|-x|=-2

|-x|=2

x=2 or - 2

true, has solutions

the ones that have no solutions are

|x|=-15

-|x|=12

-|-x|=9