The Venn diagram shows sets A, B, C, and the universal set U.

Q: Suppose that A, B, and C are sets. Prove that if AC B, then AnC C BN C. Disprove that if An C CBn C,…

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Q: Let A and B be finite sets with A - B = {a, b, c, d, e, f, g} and An B = {h, i, j, k, l, m}. Find…

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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: Find the indicated number of elements by referring to the table of enrollments in a finite…

A: Given information:  Let  be A the set of students from the College of Arts​ & Sciences, B be the…

Q: Let S={a, b, c, d, e, f, g, h, i, j} be the universal set, A={c, e, f, h}, and B={a, b, c}. Find the…

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Q: 5 LO A 1 3 نيا 6 9 in 13 2 11 8 10 C 7 4 12 14 B

A: We should find BUC  From above, venn diagram  A={3,6,9,11,13} B={7,14,4,12} C={11,4,12,13,8,2,10}…

Q: Let A, B, C, and D be sets.

A: First, (AxC)U(BXD) ⸦(AUC) x(BUD)Take left hand side first , let  (x,y) ∈(AxC) U(BxD)=> (x,y)…

Q: Set U is the set of farms in a certain country. Set A is the set of farms in the country that…

A: Given that , U = Set of farms in a certain country A = Set of farms in the country that produce corn…

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) =…

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Q: Let U = { a, b, c, d, e, f, g, h} be the universal set. Let A = {e, g, d, a, f}, B = {b, g, c, f}…

A: (A∩B)={a,b,c,d,e,h}B−A={b,c}(B−C)∪A={b,c,e,g,d,a,f}Explanation:

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

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Q: Draw a Venn diagram for the symmetric difference of the sets A and B.

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Q: Let A = {a, b, c, d) and B = {x,y}. Use the set-roster notation to write each of the following sets.…

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Q: Find the union of the sets {a, e, i, o, u} ∪ ∅

A: Given: The set {a, e, i, o, u} and ∅ function. {a, e, i, o, u} ∪ ∅ To find: The union of the set.

Q: O AC Biff P(A) C P(B).

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Create a Venn Diagram to represent the sets A = {b, c, d, e} and B = {a, b, f, g}.

A: The given sets are:

Q: (AB) - C = (A − C) – (B − C).

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Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.