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Popular >

(x-8)/6 >= (x-4)/9+1/18

Solution

\frac{x - 8}{6} \geq \frac{x - 4}{9} + \frac{1}{18}

Solution

x \geq 17

+1

Interval Notation

[17, \infty)

Solution steps

\frac{x - 8}{6} \geq \frac{x - 4}{9} + \frac{1}{18}

Multiply by LCM

3 (x - 8) \geq 2 (x - 4) + 1

Expand

3 (x - 8) : 3 x - 24

Expand

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

3 x - 24 \geq 2 x - 7

Move

24

to the right side

3 x \geq 2 x + 17

Move

2 x

to the left side

x \geq 17

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Frequently Asked Questions (FAQ)

What is (x-8)/6 >= (x-4)/9+1/18 ?
The solution to (x-8)/6 >= (x-4)/9+1/18 is x>= 17