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Popular >

|(x+5)/(x-3)|>1

Solution

\frac{x + 5}{x - 3} > 1

Solution

- 1 < x < 3 or x > 3

+1

Interval Notation

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

Solution steps

\frac{x + 5}{x - 3} > 1

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

\frac{x + 5}{x - 3} < - 1 or \frac{x + 5}{x - 3} > 1

\frac{x + 5}{x - 3} < - 1 or \frac{x + 5}{x - 3} > 1

- 1 < x < 3 or x > 3

Popular Examples

simplify (1/8)^{1/3}simplify

(\frac{1}{8})^{\frac{1}{3}}

factor 56a^3-8a factor

56 a^{3} - 8 a

8y+5>(3y-2)/2 >2y

8 y + 5 > \frac{3 y - 2}{2} > 2 y

simplify 729^{1/3}simplify

72 9^{\frac{1}{3}}

factor x^2-1x factor

x^{2} - 1 x

Frequently Asked Questions (FAQ)

What is |(x+5)/(x-3)|>1 ?
The solution to |(x+5)/(x-3)|>1 is -1<x<3\lor x>3