en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

7+2/x <-5/x

Solution

7 + \frac{2}{x} < - \frac{5}{x}

Solution

- 1 < x < 0

+1

Interval Notation

(- 1, 0)

Solution steps

7 + \frac{2}{x} < - \frac{5}{x}

Rewrite in standard form

\frac{7 x + 7}{x} < 0

Factor

\frac{7 x + 7}{x} : \frac{7 ( x + 1 )}{x}

\frac{7 ( x + 1 )}{x} < 0

Divide both sides by

7

\frac{\frac{7 ( x + 1 )}{x}}{7} < \frac{0}{7}

Simplify

\frac{x + 1}{x} < 0

Identify the intervals

- 1 < x < 0

Popular Examples

x^{2} - 5 x + 10 \geq 0

simplify 64^{3/4}simplify

6 4^{\frac{3}{4}}

factor x^4+11x^2+24 factor

x^{4} + 11 x^{2} + 24

4 x^{2} + 7 x - 2 = 0

factor 12x^2+17x+6 factor

12 x^{2} + 17 x + 6

Frequently Asked Questions (FAQ)

What is 7+2/x <-5/x ?
The solution to 7+2/x <-5/x is -1<x<0