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What is the solution to [tex]|x – 5| + 2 < 20[/tex]?

A. [tex]-7 < x < 15[/tex]
B. [tex]-13 < x < 23[/tex]
C. [tex]x < -7[/tex] or [tex]x > 15[/tex]
D. [tex]x < -13[/tex] or [tex]x > 23[/tex]

Answer :

Answer:

Step-by-step explanation:

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Rewritten by : Barada

In order to solve this inequality, we can do the following steps:

[tex]\begin{gathered} |x-5|+2<20\\ \\ |x-5|<20-2\\ \\ |x-5|<18\\ \\ -18Therefore the correct option is the second one.