What is (x-2)/(24)>= (x-2)/(30)+1/120 ?

The solution to (x-2)/(24)>= (x-2)/(30)+1/120 is x>= 3

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(x-2)/(24)>= (x-2)/(30)+1/120

\frac{x - 2}{24} \geq \frac{x - 2}{30} + \frac{1}{120}

x \geq 3

Interval Notation

[3, \infty)

Solution steps

\frac{x - 2}{24} \geq \frac{x - 2}{30} + \frac{1}{120}

Multiply by LCM

5 (x - 2) \geq 4 (x - 2) + 1

Expand

5 (x - 2) : 5 x - 10

Expand

4 (x - 2) + 1 : 4 x - 7

5 x - 10 \geq 4 x - 7

Move

10

to the right side

5 x \geq 4 x + 3

Move

4 x

to the left side

x \geq 3

18 \cdot 3

8 x^{2} + 8 = 6 - 9 x

y^{2} - 6 y + 5 = 0

2 x + 22 = 4 (x + 3)

w (7 w - 10) + 4 = 0

What is (x-2)/(24)>= (x-2)/(30)+1/120 ?
The solution to (x-2)/(24)>= (x-2)/(30)+1/120 is x>= 3