Question 144363
Solve and graph: 

{{{2 - abs(x) >= -2}}} , D=(Integers)
<pre><font size = 4 color = "indigo"><b>
Add -2 to both sides

{{{-abs(x) >= -2-2}}}

{{{-abs(x) >= -2}}}

Multiply both sides by {{{-1}}}, which
reverses the inequality:

{{{abs(x) <= 2}}}

You need the rule that to remove the absolute value 
bars from {{{abs(expression) <= A}}}, where A is a
POSITIVE number, you replace it by this three-sided 
inequality:

{{{-A <= expression <= A}}}

Using that rule, 

{{{abs(x) <= 2}}}

becomes

{{{-2<=x<=2}}}

Putting that on a graph (number line):

Since you are only using the integers for the 
domain D, put a black dot at each of those 
numbers between -2 and 2

-----------@---@---@---@---@---------- 
  -4  -3  -2  -1   0   1   2   3   4

Edwin</pre>