What is (3x-4)/(2x+4)<= 1 ?

The solution to (3x-4)/(2x+4)<= 1 is -2<x<= 8

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(3x-4)/(2x+4)<= 1

\frac{3 x - 4}{2 x + 4} \leq 1

- 2 < x \leq 8

Interval Notation

(- 2, 8]

Solution steps

\frac{3 x - 4}{2 x + 4} \leq 1

Rewrite in standard form

\frac{x - 8}{2 x + 4} \leq 0

Factor

\frac{x - 8}{2 x + 4} : \frac{x - 8}{2 ( x + 2 )}

\frac{x - 8}{2 ( x + 2 )} \leq 0

Multiply both sides by

2

\frac{2 ( x - 8 )}{2 ( x + 2 )} \leq 0 \cdot 2

Simplify

\frac{x - 8}{x + 2} \leq 0

Identify the intervals

- 2 < x \leq 8

3 x \geq 8

x^{9} + y^{9}

(\frac{y}{3})^{- 7}

24 x y + 25 y^{2} - 20 x - 30 y^{3}

\frac{4 x + 6}{x ^{2} + 5 x + 6} \geq 1