Question 1094996
.
<pre>
|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.
</pre>

<U>Answer</U>.  &nbsp;&nbsp;The solution set is &nbsp;&nbsp;-4 <= x <= 14.



&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;The answer (and the solution ?) by @josgarithmetic is  <U>W R O N G</U>.

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Simply ignore it.