SOLUTION: Solve and graph: {{{2 - abs(x) >= -2}}} , D=(Integers)

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Question 144363: Solve and graph:
2+-+abs%28x%29+%3E=+-2 , D=(Integers)

Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
Solve and graph:
2+-+abs%28x%29+%3E=+-2 , D=(Integers)

Add -2 to both sides

-abs%28x%29+%3E=+-2-2

-abs%28x%29+%3E=+-2

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

abs%28x%29+%3C=+2

You need the rule that to remove the absolute value 
bars from abs%28expression%29+%3C=+A, where A is a
POSITIVE number, you replace it by this three-sided 
inequality:

-A+%3C=+expression+%3C=+A

Using that rule, 

abs%28x%29+%3C=+2

becomes

-2%3C=x%3C=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