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Popular >

9/x <x

Solution

\frac{9}{x} < x

Solution

- 3 < x < 0 or x > 3

+1

Interval Notation

(- 3, 0) \cup (3, \infty)

Solution steps

\frac{9}{x} < x

Rewrite in standard form

\frac{9 - x ^{2}}{x} < 0

Factor

\frac{9 - x ^{2}}{x} : \frac{- ( x + 3 ) ( x - 3 )}{x}

\frac{- ( x + 3 ) ( x - 3 )}{x} < 0

Multiply both sides by

- 1

(reverse the inequality)

\frac{( - ( x + 3 ) ( x - 3 ) ) ( - 1 )}{x} > 0 \cdot (- 1)

Simplify

\frac{( x + 3 ) ( x - 3 )}{x} > 0

Identify the intervals

- 3 < x < 0 or x > 3

Popular Examples

∣ x - 1 ∣ \leq 5

n + 2 = - 14 - n

simplify (6^{2/3})^{3/4}simplify

(6^{\frac{2}{3}})^{\frac{3}{4}}

1.5+3.7+0.5x=17.2

1.5 + 3.7 + 0.5 x = 17.2

r^{2} + 2 r - 4 = 0

Frequently Asked Questions (FAQ)

What is 9/x <x ?
The solution to 9/x <x is -3<x<0\lor x>3