Proving X is a Set of Measure 0 with Infinite Sequence of Balls

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

The question: Show that X \subset \Re^n has measure 0 if and only if ε > 0 there exists an infinite sequence of balls

B_i ={ x \in R^n| |x-a_i | < r_i} with \sum < ε such that X \subset \cup_{i=1} ^\infty B_i
 
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