1. 1 > |x^2|
2. 1 < |x^2|
3. 1 > |x|^2
4. 1 < |x|^2
How do you solve for x?
Absolute Value
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Since x^2 is never negative, x^2 = |x^2| = |x|^2. For each of the inequalities above, you can ignore the absolute value signs. So, for example, if |x|^2 < 1, that just means that -1 < x < 1.
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