Question

find value of x in|x^2-1|<3​

Answer 1

$| {x}^{2} - 1| < 3$

$- 3 < {x}^{2} - 1 < 3$

$- 2 < {x}^{2} <4$

$0 \leq{x}^{2} < 4$

$|x| < 2$

$- 2 < x < + 2$

$\implies x \in( - 2 ,+ 2)$