# Math

posted by .

If /x/ = -x, then x mst be

A. Positive
B. Nonnegative
C. Negative
D. Nonpositive

• Math -

Note that is only possible if x is any real number less than or equal to zero:
x <= 0

Therefore, the answer is [D] Nonpositive.
Note nonpositive is different from negative numbers, as nonpositive includes zero, while Negative numbers does not include zero. (Zero is neither positive or negative number)

Hope this helps~ :)

• Math -

Not quite.
|x| = x if x >= 0
|x| = -x if x < 0

(C)

It happens that -0 = 0, but the definition of |x| specifies that |x|=x if x>=0

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