The solution to (10)/x >6 is 0<x< 5/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(10)/x >6

Solution

\frac{10}{x} > 6

0 < x < \frac{5}{3}

Interval Notation

(0, \frac{5}{3})

Decimal Notation

0 < x < 1.66666 \dots

Solution steps

\frac{10}{x} > 6

Rewrite in standard form

\frac{10 - 6 x}{x} > 0

Factor

\frac{10 - 6 x}{x} : \frac{- 2 ( 3 x - 5 )}{x}

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

Multiply both sides by

- 1

(reverse the inequality)

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

Simplify

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

Divide both sides by

2

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

Simplify

\frac{3 x - 5}{x} < 0

Identify the intervals

0 < x < \frac{5}{3}

2 h = 42

a^{2} + 1 2^{2} = 1 3^{2}

\frac{8 ^{- 2} \cdot 9 ^{\frac{3}{2}}}{2 ^{- 7}}

(1 + 1)^{2}

32 - 318