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Popular >

(x-6)/8 >= (x-3)/(12)+1/24

Solution

\frac{x - 6}{8} \geq \frac{x - 3}{12} + \frac{1}{24}

Solution

x \geq 13

+1

Interval Notation

[13, \infty)

Solution steps

\frac{x - 6}{8} \geq \frac{x - 3}{12} + \frac{1}{24}

Multiply by LCM

3 (x - 6) \geq 2 (x - 3) + 1

Expand

3 (x - 6) : 3 x - 18

Expand

2 (x - 3) + 1 : 2 x - 5

3 x - 18 \geq 2 x - 5

Move

18

to the right side

3 x \geq 2 x + 13

Move

2 x

to the left side

x \geq 13

Popular Examples

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(\frac{1}{a})^{2}

simplify ((x^{1/2}*y)^2)/(x^2)simplify

\frac{( x ^{\frac{1}{2}} \cdot y ) ^{2}}{x ^{2}}

simplify (1/2)^{-5}simplify

(\frac{1}{2})^{- 5}

simplify-(12x)^{-2}simplify

- (12 x)^{- 2}

sqrt(b+5)+sqrt(b+10)>2

b + 5 + b + 10 > 2

Frequently Asked Questions (FAQ)

What is (x-6)/8 >= (x-3)/(12)+1/24 ?
The solution to (x-6)/8 >= (x-3)/(12)+1/24 is x>= 13