Question

Which equations have no solution? Check all that apply.

Answer 1

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

Answer 2

The right answers are B, C, AND D