Instructor solution
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BASV 300 - Week 2 - Practice
1.What's the cardinality of the following set: \(A={3,4,…,20}\)
2.Indicate which of the following statements about empty sets are true:
> A. The empty set isn’t really a set since it has no members
> B. The empty set has cardinality 0
> C. The empty set is a subset of every set
> D. The empty set is a member of every set
3.Provide vocabulary terms for the following definitions:
> A. All the members in \(A\) can also be found in \(B\)
> B. \(A\) and \(B\) don’t share any members
> C. \(A\) and \(B\) have identical members
> D. All the members in \(A\) can also be found in \(B\), but there are members in \(B\) that are not in \(A\)
4.What is the union of two sets?
5.Consider the sets \(A = {3, 6, 9, 12}\) and \(B = {2, 4, 6, 8, 10}\). What is \(|A \cup B|\)?
6.What is the intersection of two sets?
7.Consider the sets \(A = {1, 3, 4, 5}\) and \(B = {2, 4, 6, 7}\). Let the universe of discourse be the integers. Find the resulting sets of the following operations:
> \(B-A\)
> \(A'\)
> \(A \cap B\)
> \(A \cup B\)
8.Let \(S\) be the set of integers that are divisible by 5. Let \(T\) be the set of integers that are divisible by 3. What is \(S \cap T\)?
9.What does the following set mean: \(A = {1, 15, 35}\)
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