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Popular >

(x-10)/6 >= (x-5)/9+1/18

Solution

\frac{x - 10}{6} \geq \frac{x - 5}{9} + \frac{1}{18}

Solution

x \geq 21

+1

Interval Notation

[21, \infty)

Solution steps

\frac{x - 10}{6} \geq \frac{x - 5}{9} + \frac{1}{18}

Multiply by LCM

3 (x - 10) \geq 2 (x - 5) + 1

Expand

3 (x - 10) : 3 x - 30

Expand

2 (x - 5) + 1 : 2 x - 9

3 x - 30 \geq 2 x - 9

Move

30

to the right side

3 x \geq 2 x + 21

Move

2 x

to the left side

x \geq 21

Popular Examples

4 x = \frac{5}{2} x - 10

38 + 7 k = 8 (k + 4)

3 x^{2} = 7

factor y^2-x^2 factor

y^{2} - x^{2}

7 ∣ 2 x - 5 ∣ = 35

Frequently Asked Questions (FAQ)

What is (x-10)/6 >= (x-5)/9+1/18 ?
The solution to (x-10)/6 >= (x-5)/9+1/18 is x>= 21