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Popular >

(2x+6)/(x-6)<0

Solution

\frac{2 x + 6}{x - 6} < 0

Solution

- 3 < x < 6

+1

Interval Notation

(- 3, 6)

Solution steps

\frac{2 x + 6}{x - 6} < 0

Factor

\frac{2 x + 6}{x - 6} : \frac{2 ( x + 3 )}{x - 6}

\frac{2 ( x + 3 )}{x - 6} < 0

Divide both sides by

2

\frac{\frac{2 ( x + 3 )}{x - 6}}{2} < \frac{0}{2}

Simplify

\frac{x + 3}{x - 6} < 0

Identify the intervals

- 3 < x < 6

Popular Examples

factor x^2-10xy+25y^2 factor

x^{2} - 10 x y + 25 y^{2}

factor a^2-6ab+8b^2 factor

a^{2} - 6 ab + 8 b^{2}

simplify (1/8)^2 simplify

(\frac{1}{8})^{2}

- 24 + x = 3 x + 8

factor 25w^2+10w+1 factor

25 w^{2} + 10 w + 1

Frequently Asked Questions (FAQ)

What is (2x+6)/(x-6)<0 ?
The solution to (2x+6)/(x-6)<0 is -3<x<6