en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x/(x-6)>=-1

Solution

\frac{x}{x - 6} \geq - 1

Solution

x \leq 3 or x > 6

+1

Interval Notation

(- \infty, 3] \cup (6, \infty)

Solution steps

\frac{x}{x - 6} \geq - 1

Rewrite in standard form

\frac{2 x - 6}{x - 6} \geq 0

Factor

\frac{2 x - 6}{x - 6} : \frac{2 ( x - 3 )}{x - 6}

\frac{2 ( x - 3 )}{x - 6} \geq 0

Divide both sides by

2

\frac{\frac{2 ( x - 3 )}{x - 6}}{2} \geq \frac{0}{2}

Simplify

\frac{x - 3}{x - 6} \geq 0

Identify the intervals

x \leq 3 or x > 6

Popular Examples

simplify 1/5+2/7-6/11 simplify

\frac{1}{5} + \frac{2}{7} - \frac{6}{11}

∣ x + 1 ∣ \geq 4

∣ 5 x - 4 ∣ < 1

- 4 n + 11 > - 9

simplify (2^{-0.01}-1)/(-0.01)simplify

\frac{2 ^{- 0.01} - 1}{- 0.01}

Frequently Asked Questions (FAQ)

What is x/(x-6)>=-1 ?
The solution to x/(x-6)>=-1 is x<= 3\lor x>6