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Popular >

(x-14)/2 >= (x-7)/3+7/6

Solution

\frac{x - 14}{2} \geq \frac{x - 7}{3} + \frac{7}{6}

Solution

x \geq 35

+1

Interval Notation

[35, \infty)

Solution steps

\frac{x - 14}{2} \geq \frac{x - 7}{3} + \frac{7}{6}

Multiply by LCM

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

Expand

3 (x - 14) : 3 x - 42

Expand

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

3 x - 42 \geq 2 x - 7

Move

42

to the right side

3 x \geq 2 x + 35

Move

2 x

to the left side

x \geq 35

Popular Examples

10g-5g+g-3g+g=20

10 g - 5 g + g - 3 g + g = 20

factor 25x^2-36 factor

25 x^{2} - 36

(x - 1) (x + 4) > 0

factor 3c^3+6c factor

3 c^{3} + 6 c

3 = 2 x - 1

Frequently Asked Questions (FAQ)

What is (x-14)/2 >= (x-7)/3+7/6 ?
The solution to (x-14)/2 >= (x-7)/3+7/6 is x>= 35