What is 3/(3-x)>= 5/(2-x) ?

The solution to 3/(3-x)>= 5/(2-x) is 2 = 9/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

2 < x < 3 or x \geq \frac{9}{2}

Interval Notation

(2, 3) \cup [\frac{9}{2}, \infty)

Decimal Notation

2 < x < 3 or x \geq 4.5

Solution steps

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

Rewrite in standard form

\frac{2 x - 9}{( - x + 3 ) ( - x + 2 )} \geq 0

Identify the intervals

2 < x < 3 or x \geq \frac{9}{2}

x + 6 + 2 x = 15

- 30 x^{2} + 50 x + 20 = 0

x^{2} + 14 x + 5 = 0

x (x - 1) \leq 12

What is 3/(3-x)>= 5/(2-x) ?
The solution to 3/(3-x)>= 5/(2-x) is 2<x<3\lor x>= 9/2