SATHEE: Functions 1 Question 11

Functions 1 Question 11

11. If $S$ is the set of all real $x$ such that $\frac{2 x - 1}{2 x^{3} + 3 x^{2} + x}$ is positive, then $S$ contains

(1986, 2M)

(a) $- \infty, - \frac{3}{2}$

(b) $- \frac{3}{2}, - \frac{1}{4}$

(d) $\frac{1}{2}, 3$

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Answer:

Correct Answer: 11. $(a, d)$

Solution:

Since,

$\frac{2 x - 1}{2 x^{3} + 3 x^{2} + x} > 0$

Hence, the solution set is,

$x \in (- \infty, - 1) \cup (- 1 / 2, 0) \cup (1 / 2, \infty)$

Hence, (a) and (d) are the correct options.

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Functions 1 Question 11

11. If S is the set of all real x such that 2x−12x3+3x2+x is positive, then S contains

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11. If $S$ is the set of all real $x$ such that $\frac{2 x - 1}{2 x^{3} + 3 x^{2} + x}$ is positive, then $S$ contains