Question Detail
Question
The solution of \(|x^2 - 1| < 1\) is:
Correct Answer
Option A is the correct answer.
Detailed Explanation
|x²-1| < 1 ⇒ -1 < x²-1 < 1 ⇒ 0 < x² < 2 ⇒ |x| < √2 and x ≠ 0. So -√2 < x < √2.
Hint
Solve the compound inequality: -1 < x²-1 < 1, then isolate x².