1. show that if S, and S, are definite sets with IS-n and S-m, then |S, YS,

Q: 1. example of sets A and B for which A B but Ag B.

A: Cardinality of a set is number of elements in the set.

Q: 33. Write (2, 4, 6, 8) in set-builder notation.

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Q: Let U be the universal set, where: U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17}…

A: We have to find given sets using given data.Concept/formula required:1)2)3)4)5)

Q: Let U = { 14, 15, 16, 17, 18, 19, 20 }, A = { 14, 16, 18, 20 }. Use the roster method to write the…

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Q: Statement 6.5. Let A be a finite set. If BC A, then B is finite.

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Q: Which of the following is NOT a subset of 2 {a,b} x {a,b} ☐ ({a}, a) (a, {a}) ({a,b}, {a,b}) ☐ ({a},…

A: In set theory, a subset relationship denotes that every element of one set is also an element of…

Q: define sets.

A: A set is a collection of well defined objects.

Q: Can you explain what the process was to find the cardinality?

A: Cardinality: The cardinality of a set is a measure of the number of elements in the set. For…

Q: What relationship (subset, intersect, disjoint, or equivalent) can be used to characterize the two…

A: Remind that, SUBSET : Any set A is said to be a subset of B if all elements of A are also elements…

Q: What is (A∪B)c where A={5,11,3,8,9} , B={99,5,11,2,4} and Universal Set…

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Q: Let . Compute Ilü||?. 7

A: Given query is to find the Indicated vector operation

Q: use a Venn diagram to determine which relationship, C, =, or 2, is true for the pair of sets. AUB,…

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Q: 2.) Suppose A is a set with 4 elements and B is a set with 3 elements. How many relations are there…

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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”.