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

The solution to 1/4 x+2/3 (x+3)>= x-1/2 is x<= 30

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

1/4 x+2/3 (x+3)>= x-1/2

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

x \leq 30

Interval Notation

(- \infty, 30]

Solution steps

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

Expand

\frac{1}{4} x + \frac{2}{3} (x + 3) : \frac{11 x}{12} + 2

\frac{11 x}{12} + 2 \geq x - \frac{1}{2}

Move

2

to the right side

\frac{11 x}{12} \geq x - \frac{5}{2}

Multiply both sides by

12

11 x \geq 12 x - 30

Move

12 x

to the left side

- x \geq - 30

Multiply both sides by

- 1

x \leq 30

(12 - (- 3)) \div 3

\frac{1}{4} (\frac{1}{3} k + 9) = 6

\frac{4 x y}{x ^{2} - y ^{2}} + \frac{x - y}{x + y}

4 x - 3 > 2 x + 7

3 r^{2} + 5 r - 2

What is 1/4 x+2/3 (x+3)>= x-1/2 ?
The solution to 1/4 x+2/3 (x+3)>= x-1/2 is x<= 30