What is (x-12)/8 >= (x-6)/(12)+5/24 ?

The solution to (x-12)/8 >= (x-6)/(12)+5/24 is x>= 29

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(x-12)/8 >= (x-6)/(12)+5/24

\frac{x - 12}{8} \geq \frac{x - 6}{12} + \frac{5}{24}

x \geq 29

Interval Notation

[29, \infty)

Solution steps

\frac{x - 12}{8} \geq \frac{x - 6}{12} + \frac{5}{24}

Multiply by LCM

3 (x - 12) \geq 2 (x - 6) + 5

Expand

3 (x - 12) : 3 x - 36

Expand

2 (x - 6) + 5 : 2 x - 7

3 x - 36 \geq 2 x - 7

Move

36

to the right side

3 x \geq 2 x + 29

Move

2 x

to the left side

x \geq 29

8 - \frac{x}{9} = 6

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

100 x^{2} - 9

(\frac{x}{3} - \frac{3 y}{2})^{2}

2^{- 1} + 3^{- 1}

What is (x-12)/8 >= (x-6)/(12)+5/24 ?
The solution to (x-12)/8 >= (x-6)/(12)+5/24 is x>= 29