(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Please I need your help in this question. I don't know how to answer it.

The question: Show that X ⊂ ℜn has measure 0 if and only if ε > 0 there exists an infinite sequence of balls

B_i ={ x ∈ R^n| |x-a_i | < r_i} with ∑ r[itex]^{n}_{i}[/itex] < ε such that X ⊂ ∪ [itex]^{\infty}_{i =1}[/itex]B_i

2. Relevant equations

3. The attempt at a solution

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# Show that X ⊂ ℜn has measure 0 if and only if ε > 0

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