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Popular >

(x-16)/4 >= (x-8)/6+1/12

Solution

\frac{x - 16}{4} \geq \frac{x - 8}{6} + \frac{1}{12}

Solution

x \geq 33

+1

Interval Notation

[33, \infty)

Solution steps

\frac{x - 16}{4} \geq \frac{x - 8}{6} + \frac{1}{12}

Multiply by LCM

3 (x - 16) \geq 2 (x - 8) + 1

Expand

3 (x - 16) : 3 x - 48

Expand

2 (x - 8) + 1 : 2 x - 15

3 x - 48 \geq 2 x - 15

Move

48

to the right side

3 x \geq 2 x + 33

Move

2 x

to the left side

x \geq 33

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Frequently Asked Questions (FAQ)

What is (x-16)/4 >= (x-8)/6+1/12 ?
The solution to (x-16)/4 >= (x-8)/6+1/12 is x>= 33