Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.2: Mappings
Problem 20E
Related questions
Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe3118662-a905-4ca1-aec4-fb029632c41a%2Fa98bcf26-7ccf-4105-bc12-8e239a664854%2F7ngjf7o_processed.jpeg&w=3840&q=75)
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'](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe3118662-a905-4ca1-aec4-fb029632c41a%2Fa98bcf26-7ccf-4105-bc12-8e239a664854%2Fzuz8uz_processed.jpeg&w=3840&q=75)
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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