SOLUTION: hi i need help solving the following absolute value inequality. Thank you in advance for any help provided. absolute value of x squared minus 2 is less than 1

Question 216252: hi i need help solving the following absolute value inequality. Thank you in advance for any help provided.
absolute value of x squared minus 2 is less than 1
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
absolute value of x squared minus 2 is less than 1
------------------------
|x^2-2| < 1
-----
-1 < x^2 -2 < 1
Add 2 along the line to get:
1 < x^2 < 3
Take the square root along the line:
1 < x < sqrt(3)
===============================
Cheers,
Stan H.
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