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What is the ANSWER??

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


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

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