SOLUTION: |x-5| -2 ≤ 7

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Question 1094996: |x-5| -2 ≤ 7
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
abs%28x-5%29-2%3C=7
abs%28x-5%29%3C=9

Either x-5%3C=9
OR
-x%2B5%3C=9


-x%3C=4
x%3E=-4
OR
x%3C=14


highlight%28-4%3C=x%3C=14%29

Answer by ikleyn(52879) About Me  (Show Source):
You can put this solution on YOUR website!
.
|x-5| -2 <= 7

is equivalent to

|x-5| <= 9.


The solution is the set of all real numbers that are remoted not farther than 9 units from the point "5" in a number line,

i.e.  -4 <= x <= 14.

Answer.   The solution set is   -4 <= x <= 14.


      The answer (and the solution ?) by @josgarithmetic is W R O N G.
      Simply ignore it.