ajbozdar wrote:

I selected option B because -|x| = -x.

How is it the D? I still do not understand. Could anyone further explain both question and answer?

Thank you.

It is not always the case that -|x| = -x

If x is a POSITIVE number, then -|x| = -x

For example, if x = 2, we get: -|2| = -2

Simplify to get: -2 = -2

However, if x is a NEGATIVE number, then it is NOT the case that -|x| = -x

For example, if x = -3, we get: -|-3| = -(-3)

Simplify to get: -3 = 3, which is NOT TRUE

Does that help?

Cheers,

Brent

_________________

Brent Hanneson – Creator of greenlighttestprep.com

Sign up for GRE Question of the Day emails