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Solve the following inequality algebraically. ∣x−5∣≤11

 Sep 6, 2020
 #1
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There are 2 cases, if x-5 is negative or positive.

If negative:

-x+5≤11

-6≤x

If positive:

x-5≤11

x≤16

So therefor our final answer is that x greater or equal to -6 and smaller or equal to 16.

coolcoolcool

 Sep 6, 2020

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