Discrete Math - Chapter 2 Question
and answers rated A+ 2026
What is a set - correct answer ✔Unordered collection of objects
What set does N represent - correct answer ✔Natural numbers
What set does Z represent - correct answer ✔Integers
What set does Z+ represent - correct answer ✔Positive integers
What set does Z* represent? - correct answer ✔Positive integers plus zero
What set does Q represent? - correct answer ✔Rational numbers
What set does R represent? - correct answer ✔Real numbers
What set does C represent? - correct answer ✔Complex numbers
How is { a <= x <= b } represented in set interval notation - correct answer ✔[a, b]
How is { a <= x < b } represented in set interval notation - correct answer ✔[a, b)
What does it mean if two sets are equal? - correct answer ✔They have all of the same elements
,What is a singleton set? - correct answer ✔Set with only one element (could be a set containing only
the empty set)
Describe what is necessary for set A to be a subset of set B - correct answer ✔Every element of A must
also be an element of B
What is the cardinality of a set? - correct answer ✔Number of elements in a finite set
What is the power set of a set? - correct answer ✔The set of all subsets
What is the notation for a power set? - correct answer ✔P(S)
What is P({0,1,2}) - correct answer ✔{empty set, {0}, {1}, {2}, {0, 1}, {0, 2}, {1, 2}, {0, 1, 2}}
What is the difference between a subset and a proper subset? - correct answer ✔A proper subset is
one directional, meaning the sets are not equal
What is the name of the solution to A x B - correct answer ✔Cartesian product
What does A union B do? - correct answer ✔Combines all elements of A and all elements of B into a
set
What does A intersection B do? - correct answer ✔Returns a set with only elements appearing in both
sets
What does A complement B do? - correct answer ✔Returns set with elements of A that did not appear
in B
, What is another name for a function? - correct answer ✔Mapping/Transformation
For the function f(a) = b, where f: A -> B, what is the domain - correct answer ✔A
For the function f(a) = b, where f: A -> B, what is the co-domain - correct answer ✔B
For the function f(a) = b, where f: A -> B, what is the image of a - correct answer ✔b
For the function f(a) = b, where f: A -> B, what is the pre-image of b - correct answer ✔a
What is a real valued function - correct answer ✔The co-domain is the set of real numbers
What is an integer valued function - correct answer ✔The co-domain is the set of integers
What is the other word for a one-to-one function? - correct answer ✔injective
What makes a function one-to-one? - correct answer ✔Each element of the co-domain is only mapped
to an element of the domain once (not assigned to multiple domain elements)
What is the other word for an onto function? - correct answer ✔surjective
What makes a function onto? - correct answer ✔Every element of the co-domain is mapped to an
element of the domain
What is the term for a function that is one-to-one and onto? - correct answer ✔bijective
and answers rated A+ 2026
What is a set - correct answer ✔Unordered collection of objects
What set does N represent - correct answer ✔Natural numbers
What set does Z represent - correct answer ✔Integers
What set does Z+ represent - correct answer ✔Positive integers
What set does Z* represent? - correct answer ✔Positive integers plus zero
What set does Q represent? - correct answer ✔Rational numbers
What set does R represent? - correct answer ✔Real numbers
What set does C represent? - correct answer ✔Complex numbers
How is { a <= x <= b } represented in set interval notation - correct answer ✔[a, b]
How is { a <= x < b } represented in set interval notation - correct answer ✔[a, b)
What does it mean if two sets are equal? - correct answer ✔They have all of the same elements
,What is a singleton set? - correct answer ✔Set with only one element (could be a set containing only
the empty set)
Describe what is necessary for set A to be a subset of set B - correct answer ✔Every element of A must
also be an element of B
What is the cardinality of a set? - correct answer ✔Number of elements in a finite set
What is the power set of a set? - correct answer ✔The set of all subsets
What is the notation for a power set? - correct answer ✔P(S)
What is P({0,1,2}) - correct answer ✔{empty set, {0}, {1}, {2}, {0, 1}, {0, 2}, {1, 2}, {0, 1, 2}}
What is the difference between a subset and a proper subset? - correct answer ✔A proper subset is
one directional, meaning the sets are not equal
What is the name of the solution to A x B - correct answer ✔Cartesian product
What does A union B do? - correct answer ✔Combines all elements of A and all elements of B into a
set
What does A intersection B do? - correct answer ✔Returns a set with only elements appearing in both
sets
What does A complement B do? - correct answer ✔Returns set with elements of A that did not appear
in B
, What is another name for a function? - correct answer ✔Mapping/Transformation
For the function f(a) = b, where f: A -> B, what is the domain - correct answer ✔A
For the function f(a) = b, where f: A -> B, what is the co-domain - correct answer ✔B
For the function f(a) = b, where f: A -> B, what is the image of a - correct answer ✔b
For the function f(a) = b, where f: A -> B, what is the pre-image of b - correct answer ✔a
What is a real valued function - correct answer ✔The co-domain is the set of real numbers
What is an integer valued function - correct answer ✔The co-domain is the set of integers
What is the other word for a one-to-one function? - correct answer ✔injective
What makes a function one-to-one? - correct answer ✔Each element of the co-domain is only mapped
to an element of the domain once (not assigned to multiple domain elements)
What is the other word for an onto function? - correct answer ✔surjective
What makes a function onto? - correct answer ✔Every element of the co-domain is mapped to an
element of the domain
What is the term for a function that is one-to-one and onto? - correct answer ✔bijective
