What is (x+2)/(x-10)>4 ?

The solution to (x+2)/(x-10)>4 is 10<x<14

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(x+2)/(x-10)>4

\frac{x + 2}{x - 10} > 4

10 < x < 14

Interval Notation

(10, 14)

Solution steps

\frac{x + 2}{x - 10} > 4

Rewrite in standard form

\frac{- 3 x + 42}{x - 10} > 0

Factor

\frac{- 3 x + 42}{x - 10} : \frac{- 3 ( x - 14 )}{x - 10}

\frac{- 3 ( x - 14 )}{x - 10} > 0

Multiply both sides by

- 1

(reverse the inequality)

\frac{( - 3 ( x - 14 ) ) ( - 1 )}{x - 10} < 0 \cdot (- 1)

Simplify

\frac{3 ( x - 14 )}{x - 10} < 0

Divide both sides by

3

\frac{\frac{3 ( x - 14 )}{x - 10}}{3} < \frac{0}{3}

Simplify

\frac{x - 14}{x - 10} < 0

Identify the intervals

10 < x < 14

3 + 2 i (- 1 + i) - (5 - 4 i)

x^{5} + 5 x^{4} + x^{3} - 21 x^{2} - 18 x

∣ 4 x + 3 ∣ + 4 = 8

- 3.6 (3) + 14.4

\frac{1}{2} r = \frac{7}{2}