SOLUTION: Consider fractions of the form 5/n, where n is an integer. How many integer values of n make this fraction bigger than 1/3 and smaller than 1/2?

Question 473663: Consider fractions of the form 5/n, where n is an integer. How many integer values of n make this fraction bigger than 1/3 and smaller than 1/2?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Consider fractions of the form 5/n, where n is an integer. How many integer values of n make this fraction bigger than 1/3 and smaller than 1/2?
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Solve:
1/3 < 5/n <1/2
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Multiply thru by 6 to get:
2 < 30/n < 3
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Invert and reverse the inequality
1/3 < n/30 < 1/2
10 < n < 15
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Answer: n = 11,12,13,14
How many?: 4
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Cheers,
Stan H.
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