5. By Theorem 2.3.1, NAEA(script font) A C UAEA(script font) A is true for every nonempty family of sets. Let the universe be R, and let A( note: this is what is referred to as "script font" below) be the empty family of subsets of R. Show that NAEA(script font) A C UAEA(script font) A is false in this case by proving that (a) NAEA(script font) A = R and (b) UAEA(script font) A = Ø %3D

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