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

Simplylizz asked Feb 6, 2023

125,555 views

23 votes

Simplylizz asked Feb 6, 2023

3.1k points

Your comment on this question:

Email me at this address if a comment is added after mine:Email me if a comment is added after mine

Privacy: Your email address will only be used for sending these notifications.

Email me at this address if my answer is selected or commented on:Email me if my answer is selected or commented on

Privacy: Your email address will only be used for sending these notifications.

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

2.9k points

Email me at this address if a comment is added after mine:Email me if a comment is added after mine

Privacy: Your email address will only be used for sending these notifications.

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

1.6m questions

2.0m answers