en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

4/x <= x

Solution

\frac{4}{x} \leq x

Solution

- 2 \leq x < 0 or x \geq 2

+1

Solution steps

\frac{4}{x} \leq x

Rewrite in standard form

\frac{4 - x ^{2}}{x} \leq 0

Factor

\frac{4 - x ^{2}}{x} : \frac{- ( x + 2 ) ( x - 2 )}{x}

\frac{- ( x + 2 ) ( x - 2 )}{x} \leq 0

Multiply both sides by

- 1

(reverse the inequality)

\frac{( - ( x + 2 ) ( x - 2 ) ) ( - 1 )}{x} \geq 0 \cdot (- 1)

Simplify

\frac{( x + 2 ) ( x - 2 )}{x} \geq 0

Identify the intervals

- 2 \leq x < 0 or x \geq 2

Popular Examples

simplify 58^{-1}simplify

5 8^{- 1}

simplify (e^{-2x})^2 simplify

(e^{- 2 x})^{2}

join-(5pi)/3+2pi join

- \frac{5 π}{3} + 2 π

simplify (4pi)/3+pi/2 simplify

\frac{4 π}{3} + \frac{π}{2}

factor x^2+10xy+21y^2 factor

x^{2} + 10 x y + 21 y^{2}

Frequently Asked Questions (FAQ)

What is 4/x <= x ?
The solution to 4/x <= x is -2<= x<0\lor x>= 2