Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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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”.
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Let A, B, C subset U. Suppose that n(U)= 41, n(A)= 30 and n(B)= 35. For each of the following sets, give the smallest possible number of elements the set can contain and the largest number of elements the set can contain. If you know the exact number of elements the set has, then write the same number in both spaces. 1. A U B What is the smallest and largest possible values. 2. A intersect B What is the smallest and largest possible values. 3. A’ What is the smallest and largest possible values. 4. A’ intersect B What is the smallest and largest possible values. 5. A’ U B What is the smallest and largest possible values.
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