Which is the largest negative integer which satisfies (x^2 – 1) (… - Vidyadip

MCQ

Which is the largest negative integer which satisfies $\frac{(\text{x}^2 – 1)}{(\text{x} – 2)(\text{x} – 3)}$ ?

A
-4
B
-3
C
-1
D
-2

✓

Answer

-2

Solution:

$\frac{(\text{x}^2 – 1)}{(\text{x} – 2)(\text{x} – 3)} > 0$

So, x = -1, 1, 2, 3

Thus, $\text{x}\in(-\infty, -1)\cup(1,\text{ 2})\cup(3,\infty)$

Therefore, the largest negative integer is -2.

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