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Consider the class C of all intervals of the form (a, b), a, b ? R,...

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Basic Math

Consider the class C of all intervals of the form (a, b), a, b ?R, a < b and ?. Show that C is closed under finite intersectionsbut not under complementations or unions. Hint: to show closure offinite intersections, it is enough to prove closure forintersections of 2 sets.

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