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Popular >

(x-18)/2 >= (x-9)/3+5/6

Solution

\frac{x - 18}{2} \geq \frac{x - 9}{3} + \frac{5}{6}

Solution

x \geq 41

+1

Interval Notation

[41, \infty)

Solution steps

\frac{x - 18}{2} \geq \frac{x - 9}{3} + \frac{5}{6}

Multiply by LCM

3 (x - 18) \geq 2 (x - 9) + 5

Expand

3 (x - 18) : 3 x - 54

Expand

2 (x - 9) + 5 : 2 x - 13

3 x - 54 \geq 2 x - 13

Move

54

to the right side

3 x \geq 2 x + 41

Move

2 x

to the left side

x \geq 41

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Frequently Asked Questions (FAQ)

What is (x-18)/2 >= (x-9)/3+5/6 ?
The solution to (x-18)/2 >= (x-9)/3+5/6 is x>= 41