(11-2x^2)/(x^2-1)>=1

Question

(11-2x^2)/(x^2-1)>=1

Answer 1

(11-2x²)/(x²-1)≥1     ОДЗ: x²-1≠0  x²=1   x≠1   x=-1
(11-2x²)/(x²-1)-1≥0
(11-2x²-x²+1)/(x²-1)≥0
(12-3x²)/((x+1)(x-1))≥0
3(4-x²)/((x+1)(x-1))≥0   I÷3
(2+x)(2-x)/((x+1)(x-1)≥0
-∞____-____-2____+____-1____-____1____+____2____-____+∞
x∈[-2;-1)U(1;2].