What is (2x)/3-(x-1)/4 <(x-1)/8 ?

The solution to (2x)/3-(x-1)/4 <(x-1)/8 is x<-9/7

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(2x)/3-(x-1)/4 <(x-1)/8

\frac{2 x}{3} - \frac{x - 1}{4} < \frac{x - 1}{8}

x < - \frac{9}{7}

Interval Notation

(- \infty, - \frac{9}{7})

Decimal Notation

x < - 1.28571 \dots

Solution steps

\frac{2 x}{3} - \frac{x - 1}{4} < \frac{x - 1}{8}

Multiply by LCM

16 x - 6 (x - 1) < 3 (x - 1)

Expand

- 6 (x - 1) : - 6 x + 6

16 x - 6 x + 6 < 3 (x - 1)

Add similar elements:

16 x - 6 x = 10 x

10 x + 6 < 3 (x - 1)

Expand

3 (x - 1) : 3 x - 3

10 x + 6 < 3 x - 3

Move

6

to the right side

10 x < 3 x - 9

Move

3 x

to the left side

7 x < - 9

Divide both sides by

7

x < - \frac{9}{7}

(x^{- 3})^{- 5} x^{6}

4 x^{2} + 3 x - 3 = 0

60 0^{2}

x^{2} - 26 x + 169 = 0

x^{2} + 12 x + 24 = 0

What is (2x)/3-(x-1)/4 <(x-1)/8 ?
The solution to (2x)/3-(x-1)/4 <(x-1)/8 is x<-9/7