en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(10x-5)/(2x-4)<0

Solution

\frac{10 x - 5}{2 x - 4} < 0

Solution

\frac{1}{2} < x < 2

+2

Interval Notation

(\frac{1}{2}, 2)

Decimal Notation

0.5 < x < 2

Solution steps

\frac{10 x - 5}{2 x - 4} < 0

Factor

\frac{10 x - 5}{2 x - 4} : \frac{5 ( 2 x - 1 )}{2 ( x - 2 )}

\frac{5 ( 2 x - 1 )}{2 ( x - 2 )} < 0

Multiply both sides by

2

\frac{2 \cdot 5 ( 2 x - 1 )}{2 ( x - 2 )} < 0 \cdot 2

Simplify

\frac{5 ( 2 x - 1 )}{x - 2} < 0

Divide both sides by

5

\frac{\frac{5 ( 2 x - 1 )}{x - 2}}{5} < \frac{0}{5}

Simplify

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

Identify the intervals

\frac{1}{2} < x < 2

Popular Examples

factor x^2+x+xy+y factor

x^{2} + x + x y + y

factor 2x^2-8x factor

2 x^{2} - 8 x

simplify (36x^2)/(64x^2y)simplify

\frac{36 x ^{2}}{64 x ^{2} y}

simplify 1/2*3/2 simplify

\frac{1}{2} \cdot \frac{3}{2}

join pi/6+4pi join

\frac{π}{6} + 4 π

Frequently Asked Questions (FAQ)

What is (10x-5)/(2x-4)<0 ?
The solution to (10x-5)/(2x-4)<0 is 1/2 <x<2