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Popular >

((3x+3))/(2x-4)<0

Solution

\frac{( 3 x + 3 )}{2 x - 4} < 0

Solution

- 1 < x < 2

+1

Interval Notation

(- 1, 2)

Solution steps

\frac{3 x + 3}{2 x - 4} < 0

Factor

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

\frac{3 ( x + 1 )}{2 ( x - 2 )} < 0

Multiply both sides by

2

\frac{2 \cdot 3 ( x + 1 )}{2 ( x - 2 )} < 0 \cdot 2

Simplify

\frac{3 ( x + 1 )}{x - 2} < 0

Divide both sides by

3

\frac{\frac{3 ( x + 1 )}{x - 2}}{3} < \frac{0}{3}

Simplify

\frac{x + 1}{x - 2} < 0

Identify the intervals

- 1 < x < 2

Popular Examples

factor 16-8a^2 factor

16 - 8 a^{2}

∣ x + 2 ∣ - 3 = 7

x - 6 = 9

5g+4(-5+2g)=1-g

5 g + 4 (- 5 + 2 g) = 1 - g

factor a^2-9 factor

a^{2} - 9

Frequently Asked Questions (FAQ)

What is ((3x+3))/(2x-4)<0 ?
The solution to ((3x+3))/(2x-4)<0 is -1<x<2