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Question: The largest negative integer which satisfies \(\frac{x^{2}–1}{(x–2)(x–3)}\)\> 0 is –...

The largest negative integer which satisfies x21(x2)(x3)\frac{x^{2}–1}{(x–2)(x–3)}> 0 is –

A

– 4

B

– 3

C

– 1

D

– 2

Answer

– 2

Explanation

Solution

(x1)(x+1)(x2)(x3)\frac{(x–1)(x + 1)}{(x–2)(x–3)} > 0

= – 2