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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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