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Popular >

(16)/x <x

Solution

\frac{16}{x} < x

Solution

- 4 < x < 0 or x > 4

+1

Interval Notation

(- 4, 0) \cup (4, \infty)

Solution steps

\frac{16}{x} < x

Rewrite in standard form

\frac{16 - x ^{2}}{x} < 0

Factor

\frac{16 - x ^{2}}{x} : \frac{- ( x + 4 ) ( x - 4 )}{x}

\frac{- ( x + 4 ) ( x - 4 )}{x} < 0

Multiply both sides by

- 1

(reverse the inequality)

\frac{( - ( x + 4 ) ( x - 4 ) ) ( - 1 )}{x} > 0 \cdot (- 1)

Simplify

\frac{( x + 4 ) ( x - 4 )}{x} > 0

Identify the intervals

- 4 < x < 0 or x > 4

Popular Examples

n - 4 < 5

4 x^{2} + 4 = 8 x

|x-3|-|2-3x|+|4x-5|+4>= 0

∣ x - 3 ∣ - ∣ 2 - 3 x ∣ + ∣ 4 x - 5 ∣ + 4 \geq 0

simplify (x^{1/2})(x)simplify

(x^{\frac{1}{2}}) (x)

2 x^{2} - 12 x - 14 = 0

Frequently Asked Questions (FAQ)

What is (16)/x <x ?
The solution to (16)/x <x is -4<x<0\lor x>4