What is ((3x+5))/4+((x-9))/5 <((x+3))/3-6 ?

The solution to ((3x+5))/4+((x-9))/5 <((x+3))/3-6 is x<-267/37

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

((3x+5))/4+((x-9))/5 <((x+3))/3-6

\frac{( 3 x + 5 )}{4} + \frac{( x - 9 )}{5} < \frac{( x + 3 )}{3} - 6

x < - \frac{267}{37}

Interval Notation

(- \infty, - \frac{267}{37})

Decimal Notation

x < - 7.21621 \dots

Solution steps

\frac{( 3 x + 5 )}{4} + \frac{( x - 9 )}{5} < \frac{( x + 3 )}{3} - 6

\frac{3 x + 5}{4} + \frac{x - 9}{5} < \frac{x + 3}{3} - 6

Multiply by LCM

15 (3 x + 5) + 12 (x - 9) < 20 (x + 3) - 360

Expand

15 (3 x + 5) + 12 (x - 9) : 57 x - 33

Expand

20 (x + 3) - 360 : 20 x - 300

57 x - 33 < 20 x - 300

Move

33

to the right side

57 x < 20 x - 267

Move

20 x

to the left side

37 x < - 267

Divide both sides by

37

x < - \frac{267}{37}

x, y > 2 x - 2

x, y > 2 x - 1

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

- 6 x + 2 < 0

120 - < x +, 5 \geq 25

What is ((3x+5))/4+((x-9))/5 <((x+3))/3-6 ?
The solution to ((3x+5))/4+((x-9))/5 <((x+3))/3-6 is x<-267/37