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WorksheetsMidterm Exam - Discrete Math
Total questions: 35
Worksheet time: 26mins
A __________ is an ordered collection of objects.
Relation
Function
Set
Proposition
Representing a set by using the set builder notation is called ___________________. (Select all that APPLIES.)
Definition by property
Roster Method
Rule Method
Listing
Each object in a set is called __________________.
Set
Element
Function
Subject
Which of the following are the set of natural numbers?
{1/2, 1/3, 1/4, 1/5}
{0, 1, 2, 3, 4, 5}
{-3, -2, -1, 0, 1,}
{a, b, c, d, e}
Representing a set by (enumerating) the members of the set . (Select all that APPLIES.)
Definition by property
Roster Method
Rule Method
Listing
It is a STUDY of discrete objects.
Science
Mathematics
Information Technology
Discrete Mathematics
Which of the following are the set of rational numbers?
{1/2, 1/3, 1/4, 1/5}
{0, 1, 2, 3, 4, 5}
{-3, -2, -1, 0, 1,}
{a, b, c, d, e}
It is the set of all items under consideration for a particular problem or situation.
Set
Universe
Power Set
Subset
Which of the following two sets are equal?
A = {1, 2} and B = {1}
A = {1, 2} and B = {1, 2, 3}
A = {1, 2, 3} and B = {2, 1, 3}
A = {1, 2, 4} and B = {1, 2, 3}
Which of the following are the set of integers?
{1/2, 1/3, 1/4, 1/5}
{0, 1, 2, 3, 4, 5}
{-3, -2, -1, 0, 1,}
{a, b, c, d, e}
What do you call, a drawing that can be used to show how sets are related?
Ben Diagram
Ven Diagram
Venn Diagram
Vin Diagram
It is used to represent the universal set (universe)
Circle
Rectangle
Square
Oval
It is used to represent the subsets of the universe, i.e., sets that exist within the universe.
Circle
Rectangle
Square
Oval
The set operation that brings together all of the elements of both sets whether those elements are in one or both of the sets.
Complementation
Difference
Union
Intersection
The set operation that is the set of all elements in the given universal set U that are not in A.
Complementation
Difference
Union
Intersection
The set operation that contains the elements that the two sets have in common, it is where the two sets overlap.
Complementation
Difference
Union
Intersection
The set operation which is a relative complement of sets A and B, is the set of all elements in A that are not in B.
Complementation
Difference
Union
Intersection
The members of the set S = {x | x is the square of an integer and x < 100} is ________________.
{0, 2, 4, 5, 9, 58, 49, 56, 99, 12}
{0, 1, 4, 9, 16, 25, 36, 49, 64, 81}
{1, 4, 9, 16, 25, 36, 64, 81, 85, 99}
{0, 1, 4, 9, 16, 25, 36, 49, 64, 121}
The shaded area of figure is best described by?
A ∩ B
A U B
A'
B'
Which of the following two sets are disjoint?
{1, 3, 5} and {1, 3, 6}
{1, 2, 3} and {1, 2, 3}
{1, 3, 5} and {2, 3, 4}
{1, 3, 5} and {2, 4, 6}
The shaded area of figure is best described by?
A ∩ B
A U B
A'
B'
The set O of odd positive integers less than 10 can be expressed by _____________.
{1, 2, 3}
{1, 3, 5, 7, 9}
{1, 2, 5, 9}
{1, 5, 7, 9, 11}
Which is an example of disjoint sets? Check ALL that applies.
A={multiples of two} and B = {multiples of three}
C = {whole numbers} and D = {rational numbers}
E = {even numbers} and F = {odd numbers}
G = {multiples of five} and H = {multiples of ten}
The shaded area of figure is best described by?
A ∩ B
A U B
A
B
What is the cardinality of the set of odd positive integers less than 10?
10
5
3
20
The shaded area of figure is best described by?
A ∩ B
A U B
B - A
A - B
What is the complement of B union C, (B U C)' ?
{20, 30}
{10, 50, 65}
{10, 50, 65, 60, 70, 75, 85, 90}
{20, 30, 60, 70, 75, 85, 90}
Let E = {d, a, y} and F = {n, i, g, h, t}. Then E ∩ F = ∅. Since E ∩ F = ∅, the sets E and F are disjoint sets.
TRUE OR FALSE?
(a)
Repeated ELEMENTS are listed once. TRUE OR FALSE?
(a)
Evaluate the statement, is it TRUE OR FALSE?
(a)
There is no order in a set. TRUE OR FALSE?
(a)
In symmetric difference, A △ B = (A – B) ∩ (B – A).
TRUE OR FALSE?
(a)
SETS are denoted by small letters.
TRUE OR FALSE?
(a)
A set A is a subset of B if every element of A is also in B.
TRUE OR FALSE?
(a)
If A is not finite, then it is an infinite set.
TRUE OR FALSE?
(a)
