Question 321701
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Review the definition of the absolute value function:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ |x|\ =\ \left\{\ \ x\text{ if }x\ \geq\ 0\cr-x\text{ if }x\ <\ \,0\right]


So for any real number *[tex \Large x], *[tex \Large |x|\ \geq\ 0]


Hence, no matter what value you allow *[tex \Large x] to assume, *[tex \Large |x|\ \neq\ -5]


Therefore the solution set is the empty set.


John
*[tex \LARGE e^{i\pi} + 1 = 0]
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