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

The solution to 1/3 (3x-1)< 1/2 (x+4) is x< 14/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

x < \frac{14}{3}

Interval Notation

(- \infty, \frac{14}{3})

Decimal

x < 4.66666 \dots

Solution steps

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

Expand

\frac{1}{3} (3 x - 1) : x - \frac{1}{3}

Expand

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

x - \frac{1}{3} < \frac{1}{2} x + 2

Move

\frac{1}{3}

to the right side

x < \frac{7}{3} + \frac{1}{2} x

Move

\frac{1}{2} x

to the left side

\frac{1}{2} x < \frac{7}{3}

Multiply both sides by

2

x < \frac{14}{3}

x^{2} - 6 x \leq - 7

- 108 = 2 (6 n - 6)

(1 + \frac{0.12}{2})^{2} - 1

(x - 4) (x + 2)^{2} < 0

x^{2} + 4 x - 40 = - 8

What is 1/3 (3x-1)< 1/2 (x+4) ?
The solution to 1/3 (3x-1)< 1/2 (x+4) is x< 14/3