which of the following must be true?

[uptowngirl92]

If y + | y | = 0, which of the following must be true?

(A) y > 0

(B) y≥0

(C) y < 0

(D) y&#8804;0

(E) y = 0

[spoiler]OA:D[/spoiler]

[truplayer256]

y+|y|=0
Think about this question for a moment:

In order for y+|y| to equal 0, y must be negative. There is no way in which y can be positive in order to satisfy the equation y+|y|=0. Now let's say y=-1:

-1+|-1|=-1+1=0

If you use other negative numbers less than -1, you'll also get 0, so y has to be less than or equal to 0.