Rewrite each of the following expressions without using absolute value: |x-5|+|x+5| if x<-5

Simplylizz asked Feb 6, 2023

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Simplylizz asked Feb 6, 2023

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19 votes

For
x < -5 :

$x-5 < 0 \Rightarrow |x-5|=-(x-5)=-x+5\\x+5 < 0\Rightarrow |x+5|=-(x+5)=-x-5$

|x-5|+|x+5|=-x+5-x-5=-2x

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