What is (x-16)/8 >= (x-8)/(12)+1/24 ?

The solution to (x-16)/8 >= (x-8)/(12)+1/24 is x>= 33

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(x-16)/8 >= (x-8)/(12)+1/24

\frac{x - 16}{8} \geq \frac{x - 8}{12} + \frac{1}{24}

x \geq 33

Interval Notation

[33, \infty)

Solution steps

\frac{x - 16}{8} \geq \frac{x - 8}{12} + \frac{1}{24}

Multiply by LCM

3 (x - 16) \geq 2 (x - 8) + 1

Expand

3 (x - 16) : 3 x - 48

Expand

2 (x - 8) + 1 : 2 x - 15

3 x - 48 \geq 2 x - 15

Move

48

to the right side

3 x \geq 2 x + 33

Move

2 x

to the left side

x \geq 33

\frac{5}{6} \cdot 6

\frac{3 π}{2} - \frac{π}{3}

3 x + 12 > 0

∣ 0.5 y - 3 ∣ + 4 > 5

\frac{7}{6} - \frac{2}{3}

What is (x-16)/8 >= (x-8)/(12)+1/24 ?
The solution to (x-16)/8 >= (x-8)/(12)+1/24 is x>= 33