Suppose that A is the set of sophomores at your school and B is the set of students in discrete mathematics at your school. Express each of these sets in terms of A and B. a) the set of sophomores taking discrete mathematics in your school b) the set of sophomores at your school who are not taking discrete mathematics c) the set of students at your school who either are sophomores or are taking discrete mathematics Use these symbols: ∩ ∪

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A:

Q: (b) Use set theoretic notation to describe the set of all students that were only satisfied with…

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Q: the set of students at your school who either are not sophomores or are not taking discrete…

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Q: A universal​ set, with​ n(U) = 30​, is partitioned into three​ subsets: A,​ B, and C.     If​ n(B) =…

A: we are given n(U) =30​, n(B) =3​⋅n(A), and​ n(C) =2​⋅n(B) also universal set is partitioned into…

Q: If sets X and Y are countable, then prove or disprove that X-Y is uncountable.

A:

Q: 2- consider the set of all finite subsets of N, is this set countable or not, prove it?

A: Consider the set of all finite subsets of N, is this set countable or not, to prove it.

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Q: 3. Suppose that A is the set of sophomores at your school and B is the set of students in discrete…

A:

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A: The given relation is A∪B∪C=A∪B∪C

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A: Given

Q: a) the set of sophomores taking discrete mathematics in your school b) the set of sophomores at…

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Q: 000 A В 010 110) 100 111 101 011 001

A:

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A: Given Venn diagram:

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A:

Q: Let the Universal Set, S, have 120 elements. A and B are subsets of S. Set A contains 92 elements…

A: Universal set s=120 elementsSet A=92Set =27elemants in  A and B=21

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”.