First slide

Introduction to linear inequalities

Question

$If x \in [- 4, 6) then \frac{1}{x} \in$

Moderate

A

$[- 1 / 4, 1 / 6)$
B

$[- 1 / 4, 1 / 6]$
C

$(- \infty, - 1 / 4] \cup (1 / 6, \infty)$
D

$(- \infty, - 1 / 4] \cup [1 / 6, \infty)$

Solution

$\begin{array}{l} x \in [- 4, 6) \Rightarrow - 4 \leq x < 0 or 0 < x < 6 \\ \Rightarrow - \frac{1}{4} \geq \frac{1}{x} \geq - \infty or \infty \geq \frac{1}{x} \geq \frac{1}{6} \Rightarrow \frac{1}{x} \in (- \infty, - 1 / 4] \cup (1 / 6, \infty) \end{array}$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App