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Inequality LEVEL- 2
Q1–10 of 50
1

Solve the following inequality :

x² – 5|x| + 6 < 0

Correct Answer: C. Both (a) and (b)
Explanation: No explanation available.
2

Solve the following inequality :
x² – |x| – 2 ≥ 0

Correct Answer: B. x ≤ –2 or x ≥ 2
Explanation: No explanation available.
3

Solve the following polynomial inequality :

(x – 1)(3 – x)(x – 2)² > 0

Correct Answer: D. 1 < x < 3, x ≠ 2
Explanation: No explanation available.
4

Solve the following polynomial inequality :

\( \dfrac{0.5}{x-x^2-1}<0 \)

Correct Answer: D. For all real x
Explanation: No explanation available.
5

Solve the following polynomial inequality :

\( \dfrac{x^2-5x+6}{x^2+x+1}<0 \)

Correct Answer: C. 2 < x < 3
Explanation: No explanation available.
6

Solve the following polynomial inequality :

\( \dfrac{x^2+2x-3}{x^2+1}<0 \)

Correct Answer: C. –3 < x < 1
Explanation: No explanation available.
7

Solve the following polynomial inequality :

\( \dfrac{(x-1)(x+2)^2}{-1-x}<0 \)

Correct Answer: D. x < –1 or x > 1 and x ≠ –2
Explanation: No explanation available.
8

Solve the following polynomial inequality :

\( \dfrac{x^2+4x+4}{2x^2-x-1}>0 \)

Correct Answer: D. None of these
Explanation: No explanation available.
9

Solve the following polynomial inequality :

x⁴ – 5x² + 4 < 0

Correct Answer: C. –2 < x < –1 or 1 < x < 2
Explanation: No explanation available.
10

Solve the following polynomial inequality :

x⁴ – 2x² – 63 ≤ 0

Correct Answer: D. –3 ≤ x ≤ 3
Explanation: No explanation available.
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