VJesus12 wrote:If |x|=−x, which of the following must be true?
A. x≥0
B. x≤0
C. x^2>x
D. x^3<0
E. 2x < x
Case 1: x=0, with the result that |x|=0 and -x=0
Eliminate C, D, and E, which are not true for x=0.
Case 2: x=-1, with the result that |x|=1 and -x=1
Eliminate A, which is not true for x=-1.
The correct answer is
B.
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