What is (6(x-2))/5 >(10(2-x))/3 ?

The solution to (6(x-2))/5 >(10(2-x))/3 is x>2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(6(x-2))/5 >(10(2-x))/3

\frac{6 ( x - 2 )}{5} > \frac{10 ( 2 - x )}{3}

x > 2

Interval Notation

(2, \infty)

Solution steps

\frac{6 ( x - 2 )}{5} > \frac{10 ( 2 - x )}{3}

Apply fraction cross multiply: if

\frac{a}{b} = \frac{c}{d}

then

a \cdot d = b \cdot c

6 (x - 2) \cdot 3 > 5 \cdot 10 (2 - x)

Simplify

18 (x - 2) > 50 (2 - x)

Expand

18 (x - 2) : 18 x - 36

Expand

50 (2 - x) : 100 - 50 x

18 x - 36 > 100 - 50 x

Move

36

to the right side

18 x > - 50 x + 136

Move

50 x

to the left side

68 x > 136

Divide both sides by

68

x > 2

y^{2} - 9 y + 20

\frac{4 x - 3}{3} = \frac{x + 8}{2}

n^{2} + 7 n + 10 = 0

3 h^{2} + 2 h - 16 = 0

3 (7 x - 4) = 93

What is (6(x-2))/5 >(10(2-x))/3 ?
The solution to (6(x-2))/5 >(10(2-x))/3 is x>2