Let is measurable set, and let . Show that is also measurable set.
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Let C be . Then it is easy to see that so if either B or C is measurable, so is the other. But it is also true that so that if neither B nor C is measurable, then A is not measurable.
But what if ? Then , and , but is not equal to . Sorry if I misunderstood something, od done something wrong.
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