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b) For each of the following, let A and B be some sets, both subsets of universal set U = {x|x is an integer}. If the statement is true, explain why. If it's false, give an example of A and B which would make it false. - If ACB, then AnB = A. - If An B = 0, then A = 0. - If ACB, then B'CA'. - (AUB)' = A'n B'.

b) For each of the following, let A and B be some sets, both subsets of universal set U = {x|x is an integer}. If the statement is true, explain why. If it's false, give an example of A and B which would make it false. - If ACB, then AnB = A. - If An B = 0, then A = 0. - If ACB, then B'CA'. - (AUB)' = A'n B'.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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b) For each of the following, let A and B be some sets, both subsets of universal set U = {x|x is an integer}. If the statement is true, explain why. If it's false, give an example of A and B which would make it false. - If ACB, then An B = A. - If An B = Ø, then A = 0. If A CB, then B' CA'. - (AUB)' = A'n B'.
Transcribed Image Text:b) For each of the following, let A and B be some sets, both subsets of universal set U = {x|x is an integer}. If the statement is true, explain why. If it's false, give an example of A and B which would make it false. - If ACB, then An B = A. - If An B = Ø, then A = 0. If A CB, then B' CA'. - (AUB)' = A'n B'.
Answer the following. a) For sets A, B, C justify the following formula: n(AUBUC) = n(A) + n(B) + n(C) – n(A^B) – n(ANC) - n(BC) + n(An BnC) Your answer does not have to be mathematically rigorous, but it should reasonably justify why the equation is true. It may help to look at a Venn diagram using 3 sets and compare it to the similar "addition principle" formula that we discussed for two sets. 3
Transcribed Image Text:Answer the following. a) For sets A, B, C justify the following formula: n(AUBUC) = n(A) + n(B) + n(C) – n(A^B) – n(ANC) - n(BC) + n(An BnC) Your answer does not have to be mathematically rigorous, but it should reasonably justify why the equation is true. It may help to look at a Venn diagram using 3 sets and compare it to the similar "addition principle" formula that we discussed for two sets. 3
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i am just very confused, i know all of this is correct but i dont know the basic rules of sets

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