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Popular >

(x-8)/2 >= (x-4)/3+5/6

Solution

\frac{x - 8}{2} \geq \frac{x - 4}{3} + \frac{5}{6}

Solution

x \geq 21

+1

Interval Notation

[21, \infty)

Solution steps

\frac{x - 8}{2} \geq \frac{x - 4}{3} + \frac{5}{6}

Multiply by LCM

3 (x - 8) \geq 2 (x - 4) + 5

Expand

3 (x - 8) : 3 x - 24

Expand

2 (x - 4) + 5 : 2 x - 3

3 x - 24 \geq 2 x - 3

Move

24

to the right side

3 x \geq 2 x + 21

Move

2 x

to the left side

x \geq 21

Popular Examples

1 - \frac{1}{2} + \frac{1}{3}

x^{2} - 5 x + 2 = 0

x^{2} - 3 x = 28

4 y - 2 < 7 y - 14

simplify (1/4+1/7 i)-(5/6+7/2 i)simplify

(\frac{1}{4} + \frac{1}{7} i) - (\frac{5}{6} + \frac{7}{2} i)

Frequently Asked Questions (FAQ)

What is (x-8)/2 >= (x-4)/3+5/6 ?
The solution to (x-8)/2 >= (x-4)/3+5/6 is x>= 21