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Is √(x-5)^2=5-x?

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Is √(x-5)^2=5-x?

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$$\text{Is}\ \sqrt{\left(x-5\right)^2}=5-x?$$ $$\left(1\right)\ -x\left|x\right|>0.$$ $$\left(2\right)\ 5-x>0.$$ The OA is the option D.

How can I prove that each statement alone is sufficient? I don't know how to prove that the statement (1) is sufficient. Experts, can you help me? Thanks.

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