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Popular >

4/x <x

Solution

\frac{4}{x} < x

Solution

- 2 < x < 0 or x > 2

+1

Interval Notation

(- 2, 0) \cup (2, \infty)

Solution steps

\frac{4}{x} < x

Rewrite in standard form

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

Factor

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

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

Multiply both sides by

- 1

(reverse the inequality)

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

Simplify

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

Identify the intervals

- 2 < x < 0 or x > 2

Popular Examples

- \frac{7}{6} y = - 49

factor 4x+4y+8 factor

4 x + 4 y + 8

2 x + x^{2} = 0

4 \leq x + 6 \leq 8

factor 6a^2+24a-192 factor

6 a^{2} + 24 a - 192

Frequently Asked Questions (FAQ)

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