What is x/2 > 5/(x+1+4) ?

The solution to x/2 > 5/(x+1+4) is (-5-sqrt(65))/2 (-5+sqrt(65))/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x/2 > 5/(x+1+4)

\frac{x}{2} > \frac{5}{x + 1 + 4}

\frac{- 5 - 65}{2} < x < - 5 or x > \frac{- 5 + 65}{2}

Interval Notation

(\frac{- 5 - 65}{2}, - 5) \cup (\frac{- 5 + 65}{2}, \infty)

Decimal Notation

- 6.53112 \dots < x < - 5 or x > 1.53112 \dots

Solution steps

\frac{x}{2} > \frac{5}{x + 1 + 4}

Rewrite in standard form

\frac{x ( x + 5 ) - 10}{x + 5} > 0

Identify the intervals

\frac{- 5 - 65}{2} < x < - 5 or x > \frac{- 5 + 65}{2}

\frac{( x + 1 )}{( x + 2 )} \geq 1

\frac{1}{x - 2} \geq \frac{3}{x}

(1 - x) (2 - x)^{3} (3 - x) < 0

\frac{( x + 1 )}{( x - 1 ) ^{2}} > 1

x (x + 6) (x + 2)^{2} (x - 3) > 0

What is x/2 > 5/(x+1+4) ?
The solution to x/2 > 5/(x+1+4) is (-5-sqrt(65))/2 <x<-5\lor x>(-5+sqrt(65))/2