Ooh! This looks complicated, but is it really complicated?

Algebra Level pending

\[ \dfrac{6x^2 - 2(x+1) \sqrt{x^2-1} + 3x-6}{x+1 -\sqrt{x-1} - \sqrt{2-x} - \sqrt{2(x^2+2)}} \leq 0 \]

Find the interval of \(x\) that satisfy the inequality above.

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