en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

4/(x-5)>= 2/(x-3)

Solution

\frac{4}{x - 5} \geq \frac{2}{x - 3}

Solution

1 \leq x < 3 or x > 5

+1

Solution steps

\frac{4}{x - 5} \geq \frac{2}{x - 3}

Rewrite in standard form

\frac{2 x - 2}{( x - 5 ) ( x - 3 )} \geq 0

Factor

\frac{2 x - 2}{( x - 5 ) ( x - 3 )} : \frac{2 ( x - 1 )}{( x - 5 ) ( x - 3 )}

\frac{2 ( x - 1 )}{( x - 5 ) ( x - 3 )} \geq 0

Divide both sides by

2

\frac{\frac{2 ( x - 1 )}{( x - 5 ) ( x - 3 )}}{2} \geq \frac{0}{2}

Simplify

\frac{x - 1}{( x - 5 ) ( x - 3 )} \geq 0

Identify the intervals

1 \leq x < 3 or x > 5

Popular Examples

0.5 x^{2} + 2 x = 120

2x^2-14x+9=(x-4)^2

2 x^{2} - 14 x + 9 = (x - 4)^{2}

g(-2)=(-2-4)/(-2+10-36)

g (- 2) = \frac{- 2 - 4}{- 2 + 10 - 36}

- 2 (x - 5) + 4 x = x - 4

factor x^2+39x+360 factor

x^{2} + 39 x + 360

Frequently Asked Questions (FAQ)

What is 4/(x-5)>= 2/(x-3) ?
The solution to 4/(x-5)>= 2/(x-3) is 1<= x<3\lor x>5