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    1. #1
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      Question Does this inequality have a solution?

      Not exactly homework, but I don't know who else to ask about my rusty math skills...

      Anyway given the following:

      R = A/(A+B) and the inequality B/A < 0.2

      What is the minimum value of R that satisfies the inequality?

      Does this have a solution or do I need to go looking for more information?

      Thanks in advance!

    2. #2
      reci's Avatar
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      R = A/(A+B)
      (A+B)/A = 1/R
      1+(B/A) = 1/R
      B/A = (1/R)-1
      0.2 > B/A = (1/R)-1 < 0.2
      1/R < 1.2 = 6/5
      R > 5/6

      Thus, the lowest value of (R > 5/6) is slightly above 5/6=0.8333...
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