(x^2-1)>=1...

harter55598 @harter55598

August 2022 1 3 Report

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

Answers & Comments

sangers1959

Verified answer

(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].

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