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motikmotik
2 years ago
8

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

Mathematics
1 answer:
Ivahew [28]2 years ago
4 0

For x < -5:

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

So

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

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