Number of positive integers satisfying 2- x 2 x-3 2 x-1 x 2 -3x-4 - 0 is

The correct option is A 2 (2 x ^ 2 ) (x 3) ^ 2 (x+1)( x ^ 2 3x 4) ≥ 0 (2 x ^ 2 ) (x 3) ^ 2 (x+1)(x 4)(x+1) ≤ 0 (x √( 2 ) )(x+√( 2 ) ) ( ...

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Solving Inequalities

Number of pos...

Question

Number of positive integers satisfying $\frac{(2 - x^{2}) {(x - 3)}^{2}}{(x + 1) (x^{2} - 3 x - 4)} \geq 0$ is

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\frac{(2 - x)^{2} (x - 3)^{2}}{(x + 1) (x^{2} - 3 x - 4)} \geq O

\frac{(2 - x^{2}) (x - 3)^{3}}{(x + 1) (x^{2} - 3 x - 4)} ⩾ 0

\frac{(2 - x^{2}) {(x - 3)}^{3}}{(x + 1) (x^{2} - 3 x - 4)} \geq 0

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x

\frac{(2 - x^{2})^{3} (x - 3)^{5}}{(x + 1) (x^{2} - 3 x - 4)} \geq 0

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- 3 x^{4} + det ⎡ ⎢ ⎣ \begin{matrix} 1 & x & x^{2} 1 & x^{2} & x^{4} 1 & x^{3} & x^{6} \end{matrix} ⎤ ⎥ ⎦ = 0

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