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Popular >

(x-4)/6 >= (x-2)/9+5/18

Solution

\frac{x - 4}{6} \geq \frac{x - 2}{9} + \frac{5}{18}

Solution

x \geq 13

+1

Interval Notation

[13, \infty)

Solution steps

\frac{x - 4}{6} \geq \frac{x - 2}{9} + \frac{5}{18}

Multiply by LCM

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

Expand

3 (x - 4) : 3 x - 12

Expand

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

3 x - 12 \geq 2 x + 1

Move

12

to the right side

3 x \geq 2 x + 13

Move

2 x

to the left side

x \geq 13

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Frequently Asked Questions (FAQ)

What is (x-4)/6 >= (x-2)/9+5/18 ?
The solution to (x-4)/6 >= (x-2)/9+5/18 is x>= 13