What is 1/x >(1-x)/x ?

The solution to 1/x >(1-x)/x is x 0

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

1/x >(1-x)/x

\frac{1}{x} > \frac{1 - x}{x}

x < 0 or x > 0

Interval Notation

(- \infty, 0) \cup (0, \infty)

Solution steps

\frac{1}{x} > \frac{1 - x}{x}

Rewrite in standard form

\frac{1}{x} - \frac{1 - x}{x} > 0

Expand

\frac{1}{x} - \frac{1 - x}{x} : 1

1 > 0

True for all x

Combine the intervals

True for all x and x < 0 or x > 0

Merge Overlapping Intervals

x < 0 or x > 0

y^{2} + 7 y - 8

21660 = 20 x^{2} + 760 x

(3 x^{- 6} y^{2})^{3} \cdot 2 x^{10} y^{- 7}

5 x - 3 (x - 6) \leq 0

\frac{12 w ^{2} x ^{3} y}{6 w x ^{2} y}