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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