a)​ n(A ∪ ​B) ​b) nA′ ∪ C ​c)

Q: A) Given the universal set U = {0,1,2,…, 10}, let A = {2,4,5,6,7,10}, B = {1,5,6,8} and C = {2,…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Let A, B, and C be sets in a universal set U. We are given n(U) =100, n(A) =28, n(B) =25, n(C) =25,…

A: The given values are .

Q: When A, B, and C are sets, A∩(B⋃C) = (A∩B)⋃C if and only if     A ∩ C ⊆ A ∩ B     C ⊆ A     A…

A: According to the given information it is required to tell that when the below statement holds.

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: Let A, B, and C be sets in a universal set U. We are given n(U) = 100, n(A) = 27, n(B) = 26, n(C) =…

A:

Q: ) Let A and B be subsets of a universal set U, show that (An B)U (A n B) = A AC B if and only if B C…

A:

Q: Let A, B, and C be sets in a universal set U. We are given n(U) = 58, n(A) = 23, n(B) = 21, n(C) =…

A:

Q: |(A ∪ B)\(C ∪ D)|

A: We have to give a formula for |(A ∪ B)\(C ∪ D)| in terms of the sizes of the four sets A, B, C, D…

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: 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: Show that for any sets A and B,A = ( A ∩ B ) ∪ ( A – B ) and                    A ∪ ( B – A ) = ( A…

A: Let A and  B be any two sets and U be the universal set.

Q: Let A, B, and C be sets. Show that a) (A ∪ B) ⊆ (A ∪ B ∪ C). b) (A ∩ B ∩ C) ⊆ (A ∩ B). c) (A − B) −…

A:

Q: Write the following set in Builder Set Notation. a) {0, 3, 6, 9, 12 { b) {.3,.2,.1, 0, 1, 2, 3{ c) {…

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: If A,B and C are sets, then (AUB)-C=(A-C)U(B–C).

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.