Question 322768
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Use the definition of absolute value.


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


In the case that *[tex \LARGE x\ \geq\ \frac{5}{2}\text{, } |2x\ -\ 5|\ = 2x\ -\ 5]


In the case that *[tex \LARGE x\ <\ \frac{5}{2}\text{, } |2x\ -\ 5|\ = -(2x\ -\ 5)\ =\ -2x\ +\ 5] 



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