What is ((x-4))/(5x+7)<= 2 ?

The solution to ((x-4))/(5x+7) -7/5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

((x-4))/(5x+7)<= 2

\frac{( x - 4 )}{5 x + 7} \leq 2

x \leq - 2 or x > - \frac{7}{5}

Solution steps

\frac{x - 4}{5 x + 7} \leq 2

Rewrite in standard form

\frac{- 9 x - 18}{5 x + 7} \leq 0

Factor

\frac{- 9 x - 18}{5 x + 7} : \frac{- 9 ( x + 2 )}{5 x + 7}

\frac{- 9 ( x + 2 )}{5 x + 7} \leq 0

Multiply both sides by

- 1

(reverse the inequality)

\frac{( - 9 ( x + 2 ) ) ( - 1 )}{5 x + 7} \geq 0 \cdot (- 1)

Simplify

\frac{9 ( x + 2 )}{5 x + 7} \geq 0

Divide both sides by

9

\frac{\frac{9 ( x + 2 )}{5 x + 7}}{9} \geq \frac{0}{9}

Simplify

\frac{x + 2}{5 x + 7} \geq 0

Identify the intervals

x \leq - 2 or x > - \frac{7}{5}

125 q^{3} - w^{3}

a^{2} - 2 a - 8

27 x^{3} - 1

8 \cdot 7

\frac{( 6 y + 7 )}{4} + \frac{( 8 - 5 y )}{3} = 5

What is ((x-4))/(5x+7)<= 2 ?
The solution to ((x-4))/(5x+7)<= 2 is x<=-2\lor x>-7/5