Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

Find the values of 1/x for the given value of x.

x < -2

Options:

$-\frac{1}{2}<\frac{1}{x}<\frac{1}{2}$

$-\frac{1}{2}<\frac{1}{x}<0$

$\frac{1}{2}<\frac{1}{x}<1$

$0<\frac{1}{x}<1$

Correct Answer:

$-\frac{1}{2}<\frac{1}{x}<0$

Explanation:

We have -∞ < x < -2

$⇒\frac{1}{→-∞}>\frac{1}{x}>\frac{1}{-2}$

$⇒0>\frac{1}{x}>-\frac{1}{2}$

$⇒-\frac{1}{2}<\frac{1}{x}<0$