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Determine whether each statement is always, sometimes, or never true. explain your reasoning. A. |x|=|-x| _________ B. |x|=-|x| _______ C. |-x|=-|x| _______

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A.
|-x|=|x| \Rightarrow |x|=|-x| always true

B.
|x|\geq0 \quad \forall_{x\in \mathbb{R}} so
|x|=-|x| is never true

C. same as B




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