en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(x-10)/4 >= (x-5)/6+1/12

Solution

\frac{x - 10}{4} \geq \frac{x - 5}{6} + \frac{1}{12}

Solution

x \geq 21

+1

Interval Notation

[21, \infty)

Solution steps

\frac{x - 10}{4} \geq \frac{x - 5}{6} + \frac{1}{12}

Multiply by LCM

3 (x - 10) \geq 2 (x - 5) + 1

Expand

3 (x - 10) : 3 x - 30

Expand

2 (x - 5) + 1 : 2 x - 9

3 x - 30 \geq 2 x - 9

Move

30

to the right side

3 x \geq 2 x + 21

Move

2 x

to the left side

x \geq 21

Popular Examples

a^{2} - 2 a - 35 = 0

x^{2} - 4 x = 12

- 4 n - 8 = 4 (- 3 n + 2)

factor 8a^2-2 factor

8 a^{2} - 2

factor z^2-11z+30 factor

z^{2} - 11 z + 30

Frequently Asked Questions (FAQ)

What is (x-10)/4 >= (x-5)/6+1/12 ?
The solution to (x-10)/4 >= (x-5)/6+1/12 is x>= 21