एक परिमित समुच्चय (finite set) X पर गणना माप (counting measure), उपसमुच्चय A ⊆ X को कौन सा मान प्रदान करता है?

For any sequence of sets, the outer measure m satisfies which of the following properties?

Let μ denote the Lebesgue measure on ℝ. Suppose that f is a non-negative Lebesgue measurable function on ℝ. Let 0 = a0 < a1 < a2 < … be an unbounded sequence such that an+1 ≤ c an for some real number c and for all n ≤ 1. Let Ak = {x ∞ ℝ | ak ≤ f(x) < ak+1} for each k ≤ 0. Which of the following statements is true?