SOLUTION: I need help with |x+4| greater than or equal to -1

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Question 1146535: I need help with |x+4| greater than or equal to -1
Found 2 solutions by Alan3354, Theo:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
I need help with |x+4| greater than or equal to -1
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|x+4| >= -1
Case 1:
x+4 >= -1
x >= -5
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Case 2:
-(x+4) >= -1
-x -4 >= -1
-x >= 3
0 >= x+3
-3 >= x
x <= -3
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-5 <= x <= -3
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Peculiar tho, because any absolute value must be >= zero.

Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
absolute value of any expression must be greater than or equal to 0.
therefore abs(x+4) >= 0
this is true for any value of x.
therefore abs(x+4) >= -1 is true for all values of x.
the following picture shows what it looks like on a graph.
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