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Popular >

|(x-2)/(x+3)|>1

Solution

\frac{x - 2}{x + 3} > 1

Solution

x < - 3 or - 3 < x < - \frac{1}{2}

+2

Solution steps

\frac{x - 2}{x + 3} > 1

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

\frac{x - 2}{x + 3} < - 1 or \frac{x - 2}{x + 3} > 1

\frac{x - 2}{x + 3} < - 1 or \frac{x - 2}{x + 3} > 1

x < - 3 or - 3 < x < - \frac{1}{2}

Popular Examples

- 5 < x < 5

factor (3x^2)(4x^4)factor

(3 x^{2}) (4 x^{4})

factor 24a^2-30a+9 factor

24 a^{2} - 30 a + 9

2 x - 3 = 4 - 2 x

simplify-4(-1/2)^2-4(-1/2)+3 simplify

- 4 (- \frac{1}{2})^{2} - 4 (- \frac{1}{2}) + 3

Frequently Asked Questions (FAQ)

What is |(x-2)/(x+3)|>1 ?
The solution to |(x-2)/(x+3)|>1 is x<-3\lor-3<x<-1/2