1) A) What is a subset of a set? B) Why is {3,8,15} NOT a subset of {2,15,3,10}?

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.2: Mappings
Problem 20E
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1) A) What is a subset of a set?
B) Why is {3,8,15} NOT a subset of {2,15,3,10}?
2) Suppose U = {x: x € N, x ≤ 20}, A = {3,6,9,12,15,18}, and B = {1,2,3,6,10,15}
A) Draw a Venn diagram for these sets
B) Shade in the region that corresponds to {1,2,10}
C) List the set of elements that are within U but not in either of the set
Transcribed Image Text:1) A) What is a subset of a set? B) Why is {3,8,15} NOT a subset of {2,15,3,10}? 2) Suppose U = {x: x € N, x ≤ 20}, A = {3,6,9,12,15,18}, and B = {1,2,3,6,10,15} A) Draw a Venn diagram for these sets B) Shade in the region that corresponds to {1,2,10} C) List the set of elements that are within U but not in either of the set
3) Prove using Venn diagram that
An (BUC) = (ANB) U (ANC)
4) Using equality of sets, prove that (An B)' = A' U B'
Transcribed Image Text:3) Prove using Venn diagram that An (BUC) = (ANB) U (ANC) 4) Using equality of sets, prove that (An B)' = A' U B'
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