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Popular >

|(x+4)/x |>2

Solution

\frac{x + 4}{x} > 2

Solution

- \frac{4}{3} < x < 0 or 0 < x < 4

+2

Interval Notation

(- \frac{4}{3}, 0) \cup (0, 4)

Decimal Notation

- 1.33333 \dots < x < 0 or 0 < x < 4

Solution steps

\frac{x + 4}{x} > 2

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

\frac{x + 4}{x} < - 2 or \frac{x + 4}{x} > 2

\frac{x + 4}{x} < - 2 or \frac{x + 4}{x} > 2

- \frac{4}{3} < x < 0 or 0 < x < 4

Popular Examples

3 x (5 - x) = 0

4 k + 3 = 14

simplify 64^{1/2}+27^{1/3}simplify

6 4^{\frac{1}{2}} + 2 7^{\frac{1}{3}}

factor 8w^3+125 factor

8 w^{3} + 125

simplify 9/5-(-6/10)simplify

\frac{9}{5} - (- \frac{6}{10})

Frequently Asked Questions (FAQ)

What is |(x+4)/x |>2 ?
The solution to |(x+4)/x |>2 is -4/3 <x<0\lor 0<x<4