First slide

Introduction to linear inequalities

Question

$The solution set of the inequality 2^{x + 2} - 2^{x + 3} - 2^{x + 4} > 5^{x + 1} - 5^{x + 2} is$

Moderate

A

$(- \infty, \infty)$
B

$(- \infty, - 1)$
C

$(0, \infty)$
D

$(- 1, \infty)$

Solution

Rewrite the inequality as
$\begin{aligned} 2^{x} (4 - 8 - 16) > 5^{x} (5 - 25) \\ \Rightarrow (2 / 5)^{x} < 1 \Leftrightarrow x \in (0, \infty) \end{aligned}$

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