goodyear2013 wrote:

If |m+5|−5 = m, which of the following must be true?

A. m = 0

B. m = −10

C. m is a multiple of 5.

D. m ≥ −5

E. |m+5| > 0

Case 1 : |m+5| = 0, then m= -5

|-5+5|−5 = -5 --> true

Case 2; |m+5| < 0, then m< -5

|m+5|−5 = -m - 5 -5 = m , then m = -5 --> false

Case 3: Case 2; |m+5| > 0, then m> -5

|m+5|−5 = m+5 -5 = m , then m = m --> always true

Only case 1 and 3 satisfy the equation, so D is the answer.

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