SOLUTION: find all of the possible solutions for x that satisfy the following inequality |-(x+2)^2 +1| greater than or equal to 1.

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Question 214460: find all of the possible solutions for x that satisfy the following inequality |-(x+2)^2 +1| greater than or equal to 1.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
|-(x+2)^2 +1| greater than or equal to 1
-1 <= -(x+2)^2+1 <= 1
Subtract 1 along the line to get:
-2 <= -(x+2)^2 <= 0
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Multiply thru by -1 to get:
0 <= (x+2)^2 <= 2
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Take the square root along the line to get:
0 <= x+2 <= sqrt(2)
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Subtract 2 along the line to get:
-2 <= x <= sqrt(2)-2
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Cheers,
Stan H.