Can't find the set of solutions

59 Views Asked by At

Set of solutions of this inequality :

$$\log_2({ \space x ^2 - 1}) < 1$$

The answer given is :$$ \sqrt3 < x < - 1 \cup 1 < x < \sqrt3 . $$

1

There are 1 best solutions below

0
On

$$\log_2(x^2-1)<1$$ it's $$0< x^2-1<2$$ or $$1<x^2<3$$ or $$1<|x|<\sqrt3,$$ which gives your answer.