Algebra and Trigonometry 10th Edition

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$|x|=x$ if $x\geq0$ $|x|=-x$ if $x\lt0$ Given that $-2\lt0$: $|-2|=-(-2)=2$ So: $-|-2|=-2$ Given that $2\geq0$: $|2|=2$ So: $-|2|=-2$ Hence: $-|-2|=-|2|$