b) Prove the second De Morgan law in by showing that if A and B are sets, then AUB=ANB i) by showing each side is a subset of the other side. ii) by using a membership table.

Q: 2. Find sets A, B, C, D such that the sets (AN B)U (C\ D), ((An B) U C) \ D, An(BUC) \ D, An(BU(C\…

A:

Q: Let S = {Barnsley, Manchester United, Southend, Sheffield United, Liverpool, Maroka Swallows,…

A: Given that, S = {Brinsley, Manchester United, Southend, Sheffield United, Liverpool, Maroka…

Q: Complete the proof of the following: If A, B, C, and D are sets, then ( A × B ) ∩ ( C × D ) = ( A…

A:

Q: A universal set U consists of 18 elements. If sets A, B, and C are proper subsets of U and n(U)= 18,…

A: n(U) = 18n(A∩B) = n(A∩C) = n(B∩C)= 9n(A∩B∩C)= 6n(A∪B∪C)= 15

Q: Consider the following two sets:   A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} B = {–9, –6, –3, 0,…

A: The intersection of two sets A and B contains the elements that the two sets have in common.

Q: Prove that if A1, A2, ..., A, are any n > 2 sets, then A NA2 N …… A„ = A¡ UA2 U.…UA..

A: We will  prove the given statement using mathematical induction method.

Q: Suppose that A, B, and C are sets such that A ⊕ C = B ⊕ C. Must it be the case that A = B?

A:

Q: H = {x/x is a herding dog} and B={collie, sheltie, Border Collie} Note: All of art B are herding…

A: Given that,H={x/x is a herding dog} B = {collie, sheltie, Border Collie}Note: All of art B are…

Q: Give an example of three sets A,B and C such that A ⊆ B, B ⊆ C, C 6⊆ A and C ⊆ B.

A: We construct  an example of three sets A,B and C such that A ⊆ B, B ⊆ C, C 6⊆ A and C ⊆ B.

Q: 3. Give an example of sets A and B and a universal set U such that A c B. Find A and B.

A:

Q: Which of these sets are equal? O An (B U C) = (A n B) U (A n C) An (B U C) = (A n B) U c O An (B U…

A:

Q: Let A = {June, John, James, Justin, Jeffrey, Jelly}, B = {John, Jelly, Justin}, and C = {Irina,…

A: Let A = {June, John, James, Justin, Jeffrey, Jelly}  B = {John, Jelly, Justin} C = {Irina, Irena,…

Q: prove the following statement If A, B, and C are sets, then A - (BnC) = (A - B) U (A - C). Suppose…

A: Since you have posted a question with multiple sub ports, we will provide the solution only to the…

Q: 1. Prove the following statements about sets A and B. A B= AN Bº %3D

A: Given: Let A and B be two sets. To prove,A-B=A∩Bc

Q: Let A = {Becca, Darius, Julian, Larry, Solly, Bess), B = {Larry, Solly, Darius}, and C= {Mellie,…

A: Given that                      A={Becca, Darius, Julian, Larry, Solly, Bess}…

Q: Let A={blue,orange,red,yellow,green} and B={silver,orange,blue,gold,yellow}. Which sets represents…

A:

Q: 15. Prove the second De Morgan law in Table 1 by showing that if A and B are sets, then AUB= An B a)…

A: Given: A and B are sets . To show : A∪B=A∩B (a) By showing each side is a subset of other side . (b)…

Q: 21. Show that if A and B are sets, then a) A-B=An B. b) (ANB) U (ANB) = A.

A: This is a question of the set theory.