Rather, the question is asking: is Y greater or equal to Z assuming there is an equality between x and y-z (or z-y).

Remember the definition of |x|. |x| is always greater or equal to 0.

If x > 0, then |x| = x.

If x = 0 then |x| = 0.

If x < 0, the |x| = -X. Since x < 0, we have to take -X to make it > 0.

So is |x| = y-z ?

We'll have a definite answer to the question if we have an equality between x and y-z (or z-y)

And if we know the sign of x or y-z.

1/ x + y = z

so x = z - y--- Not enough information because we need to know the sign of x or y-z.

2/ x < 0 --- Not enough information because we need a relationship between x and y-z

Together we have both an equality and the sign of x.

so |x| = |z-y| = y-z because x being < 0, so is z-y.

z-y < 0 ; therefore |x| = |z- y| = -(z-y) = y-z.

C is the answer.That's all, folks.

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