Let a > 0, solve the inequality about X (AX-1) / (x ^ 2-1) > 0, thank you!

Let a > 0, solve the inequality about X (AX-1) / (x ^ 2-1) > 0, thank you!


(ax-1)/(x^2-1)>0
(ax-1)/(x-1)(x+1)>0
When a > 1, X ∈ (- 1,1 / a) ∪ (1, + ∞)
When