U=(4,5,6,7,8,9,10,11,12,13,14,15) U is the Universal set. A={x]x is a natural number and 9sx<14} B=(4,7,11,13,15} C=(4,5,6,13,14,15} Find the following: 1. A' (9,10,11,12,13,14,15) 2. BnC 3. AUC 4. (A B)

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A: This is a problem of Real Analysis and Topology.

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Q: true or false and why ? The set [0,1] has the same cardinality as ℝ .

A: True. See the attachment

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Q: How many different functions are there from a set with 10 elements to sets with 5 elements?

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Q: Use the given cardinalities to determine the number of elements in the specific region. Where, "n"…

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Q: p,q are positive integers and n = 2^q3^q. let P be a poset with positive points that are divisors of…

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Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.