Set Concepts 2.1
A set is said to be this if it either contains no elements or the number of elements in the set is a natural number.
What is finite?
The empty set has no elements, and has exactly one of these.
What is a subset?
When two sets have no elements in common they are called this.
What is disjoint?
A survey of 85 customers was taken at Barnes and Noble regarding the types of books purchased. The survey found that 44 purchased mysteries, 33 purchased Sci Fi, 29 purchased romance novels, 13 purchased mysteries & Sci Fi, 5 purchased Sci Fi & romance novels, 11 purchased mysteries & romance novels,and 2 all three types of books.
This many customers surveyed purchased only mysteries.
What is 22?
This is the number of elements in a set.
What is a cardinal number?
Set A is said to be this of set B if and only if all the elements of set A are also elements of set B.
What is a subset?
This of set A is the set of all the elements in the universal set that are not in set A.
What is the complement of set A?
A survey of 85 customers was taken at Barnes and Noble regarding the types of books purchased. The survey found that 44 purchased mysteries, 33 purchased Sci Fi, 29 purchased romance novels, 13 purchased mysteries & Sci Fi, 5 purchased Sci Fi & romance novels, 11 purchased mysteries & romance novels,and 2 all three types of books.
This many customers surveyed purchased Sci Fi or mysteries.
What is 64?
A method to indicate a set which lists the elements of a set inside a pair of {}, commas separate the elements of the set. The order is not important, but do not list the any element more than once.
What is Roster Form?
Set A is said to be this type of subset of set B if and only if all the elements of set A are in set B and set A does not equal set B.
What is proper?
This of sets A and B is the set containing all the elements that are common to both set A and set B.
What is the intersection of sets A and B?
A survey of 85 customers was taken at Barnes and Noble regarding the types of books purchased. The survey found that 44 purchased mysteries, 33 purchased Sci Fi, 29 purchased romance novels, 13 purchased mysteries & Sci Fi, 5 purchased Sci Fi & romance novels, 11 purchased mysteries & romance novels,and 2 all three types of books.
This many customers surveyed purchased mysteries or sci fi, but not romance novels.
What is 50?
Two sets that are equivalent or have the same cardinality can be placed in this type of correspondence.
What is one-to-one?
The number of distinct proper subsets of a finite set A is found by using this formula, where n is the number of elements in set A.
What is 2n-1?
This of sets A and B is the set containing all the elements of both sets.
What is the union of sets A and B?
A survey of 85 customers was taken at Barnes and Noble regarding the types of books purchased. The survey found that 44 purchased mysteries, 33 purchased Sci Fi, 29 purchased romance novels, 13 purchased mysteries & Sci Fi, 5 purchased Sci Fi & romance novels, 11 purchased mysteries & romance novels,and 2 all three types of books.
This many customers surveyed purchased mysteries and sci fi, but no romance.
What is 11?
These are the three methods commonly used to indicate a set.
What are description, roster form, and set-builder notation?
A set with 6 elements has this many subsets.
What is 26, or 64?
Given that A={1,3,5} and B={A,D} determine BxA.
What is {(A,1), (A,3), (A,5), (D,1), (D,3), (D,5)}?
A survey of 85 customers was taken at Barnes and Noble regarding the types of books purchased. The survey found that 44 purchased mysteries, 33 purchased Sci Fi, 29 purchased romance novels, 13 purchased mysteries & Sci Fi, 5 purchased Sci Fi & romance novels, 11 purchased mysteries & romance novels,and 2 all three types of books.
This many customers surveyed purchased exactly two types of books.
What is 23?