Question

The solution set of
log_1/2 (x^2-1)>0 is​

Answer 1

Step-by-step explanation:

We have,

$log_{ \frac{1}{2} }( {x}^{2} - 1 ) > 0$

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

$\implies ( {x}^{2} - 2 ) < 0$

$\implies ( x - \sqrt{2} )(x + \sqrt{2}) < 0$

$\implies x \in( - \sqrt{2} ,\sqrt{2} )$