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Problem 2: Shade a Venn diagram to represent the sets A, B, and C, such that: (i) C - (A°n B) (ii) ANB = 0 and AnC= C

Problem 2: Shade a Venn diagram to represent the sets A, B, and C, such that: (i) C - (A°n B) (ii) ANB = 0 and AnC= C

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.2: Linear Independence, Basis, And Dimension
Problem 10AEXP
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Problem 1: Prove A = {m € Z : m mod 6 = 2} is a proper subset of B = {n EZ:n is even}. Problem 2: Shade a Venn diagram to represent the sets A, B, and C, such that: (i) C – (AªN B) (ii) ANB = Ø and AnC= C Problem 3: Use the set identities/laws to show (A – Bº) U (ACU B)° = A. Problem 4: Recall that the power set P(A) is the set of all subsets of A. Prove that if A C BnC and B C C, then P(A) U P(B) C P(C).
Transcribed Image Text:Problem 1: Prove A = {m € Z : m mod 6 = 2} is a proper subset of B = {n EZ:n is even}. Problem 2: Shade a Venn diagram to represent the sets A, B, and C, such that: (i) C – (AªN B) (ii) ANB = Ø and AnC= C Problem 3: Use the set identities/laws to show (A – Bº) U (ACU B)° = A. Problem 4: Recall that the power set P(A) is the set of all subsets of A. Prove that if A C BnC and B C C, then P(A) U P(B) C P(C).
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