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

 Feb 5, 2021
 #1
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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

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