Question 554205
<pre>
                              [-8, 2]

                         is interval notation for

                             -8 &#8806; x &#8806; 2

                   and is represented graphically as

--------------&#9899;======================================&#9899;------------
-11 -10  -9  -8  -7  -6  -5  -4  -3  -2  -1   0   1   2   3   4   5

The midpoint of that interval is found by averaging the endpoints {{{(-8+2)/2}}}={{{(-6)/2}}}=-3

Add the opposite of -3, which is +3, to all three sides:

                      -8 + 3 &#8806; x + 3 &#8806; 2 + 3 

                          -5 &#8806; x + 3 &#8806; 5

                     That is equivalent to 

                            |x + 3| &#8806; 5   

Edwin</pre>