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# Absolute value

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Find all x such that $5=|x-2|+|x-7|$.

Feb 5, 2021

#1
+112513
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Split this into 3 cases.

$$If \;\;x< 2 \qquad then \qquad 5=2-x+7-x \quad etc\\ If \;\;2\le x\le 7 \qquad then ?\\ If \;\;x>7 \qquad then ?\\$$

You see if you can work it out now.

Feb 6, 2021