angiiee718
angiiee718 angiiee718
  • 26-07-2020
  • Mathematics
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find the least positive integer for which the sum of its reciprocal and 9/10 is greater than 4 times the reciprocal

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sqdancefan
sqdancefan sqdancefan
  • 26-07-2020

Answer:

  4

Step-by-step explanation:

You want the least positive integer x such that ...

  1/x +9/10 > 4/x

  9/10 > 3/x . . . . subtract 1/x

  3/10 > 1/x . . . . .divide by 3

  x > 10/3 . . . . . multiply by 10x/3

The least positive integer satisfying this requirement is x = 4.

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