Let L be a countable subset of R and M be a Lebesgue measurable subset of R with m(M)0. If N=Lcup M and O=(Lcup M)setminus(Lcap M), then:

Q51Section II (Mathematics)51 of 190

Countable sets never move Lebesgue measure

Let L be a countable subset of $\mathbb{R}$ and M be a Lebesgue measurable subset of $\mathbb{R}$ with $m(M)>0$ . If $N=L\cup M$ and $O=(L\cup M)\setminus(L\cap M)$ , then:

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