Consider the set: U = {?ϵ?|1 ≤ ? ≤ 100} (all integer numbers between 1 and 100 inclusively) a. A⊂U consists of all prime numbers in U. Determine n(A). b. B⊂U consists of all odd numbers of U. Determine n(B). c. Determine n(A∪B). d. Create a Venn Diagram for n(A) and n(B) (include how many elements belong to neither subset outside of the diagram).

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.2: Mappings
Problem 21E: In Exercises 20-22, Suppose and are positive integers, is a set with elements, and is a set...
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Consider the set:
U = {?ϵ?|1 ≤ ? ≤ 100} (all integer numbers between 1 and 100 inclusively)
a. A⊂U consists of all prime numbers in U. Determine n(A).
b. B⊂U consists of all odd numbers of U. Determine n(B).
c. Determine n(A∪B).
d. Create a Venn Diagram for n(A) and n(B) (include how many elements belong to
neither subset outside of the diagram).

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