What is (x-14)/8 >= (x-7)/(12)+1/24 ?

The solution to (x-14)/8 >= (x-7)/(12)+1/24 is x>= 29

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(x-14)/8 >= (x-7)/(12)+1/24

\frac{x - 14}{8} \geq \frac{x - 7}{12} + \frac{1}{24}

x \geq 29

Interval Notation

[29, \infty)

Solution steps

\frac{x - 14}{8} \geq \frac{x - 7}{12} + \frac{1}{24}

Multiply by LCM

3 (x - 14) \geq 2 (x - 7) + 1

Expand

3 (x - 14) : 3 x - 42

Expand

2 (x - 7) + 1 : 2 x - 13

3 x - 42 \geq 2 x - 13

Move

42

to the right side

3 x \geq 2 x + 29

Move

2 x

to the left side

x \geq 29

\frac{4}{3} z = 10

2 p^{2} + 24 = - 16 p

- x^{4} + 11 x^{2} + 18 x + 8

\frac{5 x - 3}{2} > 6

What is (x-14)/8 >= (x-7)/(12)+1/24 ?
The solution to (x-14)/8 >= (x-7)/(12)+1/24 is x>= 29