What do you mean by the rate of the set?

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- May 19th 2009, 12:50 AM #1

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- Mar 2009
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## Please help!

I really need help with my homework.

We have E-mesurable set, function f : E -> R is mesurable, f>=0, f is bounded. The rate of the set {x € E : f(x)>=c} is a.

Then the Lebesgue's integral for function f over E is >=a.

I have to prove it. Can anybody give me a hint please?

THANK YOU.

- May 19th 2009, 10:45 AM #2

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- May 19th 2009, 10:54 AM #3