Math 110 Final Exam Quistions And
Verifield Answers
Conditional Statement ...ANSWER...If, Then statement (A=B)
Converse Statement ...ANSWER...Switched conditional statement (B=A)
Inverse Statement ...ANSWER...Negative conditional statement (-A=-B)
Contrapositive Statement ...ANSWER...Negative and switched conditional statement (-
B=-A)
What is the most common logical error? ...ANSWER...Assuming that the converse or
inverse of a given statement must be true
What do Existential Quantifiers indicate? ...ANSWER...The existence of something
What are the key phrases/terms for Existential Quantifiers? ...ANSWER...Some, at
least, there exists
What do Universal Quantifiers indicate? ...ANSWER...That some quality is shared by
none of or every item in a set
What are some key terms/phrases for Universal Quantifiers? ...ANSWER...All, every,
none, no
What should be used to negate statements? ...ANSWER...Use the opposite quantifier
Counter examples prove what false? ...ANSWER...Statements
What is a set? ...ANSWER...A collection of items that can be described in words or with
roster notation by using brackets {}
What are Natural Numbers? ...ANSWER...All numbers zero through infinity
What is the symbol for Natural Numbers? ...ANSWER...
, What is the symbol for Integers? ...ANSWER...
What is the symbol for Rational Numbers? ...ANSWER...
What is the symbol for Real Numbers? ...ANSWER...
What are Integers? ...ANSWER...All numbers negative infinity through positive infinity
What are Rational Numbers? ...ANSWER...The set of all fractions of Integers
What are Real Numbers? ...ANSWER...All the numbers on the number line
What are Irrational Numbers? ...ANSWER...Any real number that is not rational
What is cardinality? ...ANSWER...The number of elements in a set
How is cardinality expressed? ...ANSWER...|A|
Every set lives within a what? ...ANSWER...Universal Set (U)
What is the Compliment of a set, and how is it expressed? ...ANSWER...The set of all
elements of the universe that are not elements of A; A'
When is set A a Subset of set B? ...ANSWER...If all the elements of set A are also in set
B
What is the symbol for Subset? ...ANSWER...
When is set A a Proper Subset of Set B? ...ANSWER...If A is a subset of B and they are
not the same.
What is the symbol for a Proper Subset? ...ANSWER...
The Empty set is a subset of which set? ...ANSWER...Every set
What is the Intersection of sets A and B? ...ANSWER...The set of all elements common
between both A and B
What is the symbol for Intersection? ...ANSWER...
When are sets A and B Disjoint? ...ANSWER...If there are no common elements
between sets A and B
What is the Union of sets A and B? ...ANSWER...The set of all elements in both A and
B
Verifield Answers
Conditional Statement ...ANSWER...If, Then statement (A=B)
Converse Statement ...ANSWER...Switched conditional statement (B=A)
Inverse Statement ...ANSWER...Negative conditional statement (-A=-B)
Contrapositive Statement ...ANSWER...Negative and switched conditional statement (-
B=-A)
What is the most common logical error? ...ANSWER...Assuming that the converse or
inverse of a given statement must be true
What do Existential Quantifiers indicate? ...ANSWER...The existence of something
What are the key phrases/terms for Existential Quantifiers? ...ANSWER...Some, at
least, there exists
What do Universal Quantifiers indicate? ...ANSWER...That some quality is shared by
none of or every item in a set
What are some key terms/phrases for Universal Quantifiers? ...ANSWER...All, every,
none, no
What should be used to negate statements? ...ANSWER...Use the opposite quantifier
Counter examples prove what false? ...ANSWER...Statements
What is a set? ...ANSWER...A collection of items that can be described in words or with
roster notation by using brackets {}
What are Natural Numbers? ...ANSWER...All numbers zero through infinity
What is the symbol for Natural Numbers? ...ANSWER...
, What is the symbol for Integers? ...ANSWER...
What is the symbol for Rational Numbers? ...ANSWER...
What is the symbol for Real Numbers? ...ANSWER...
What are Integers? ...ANSWER...All numbers negative infinity through positive infinity
What are Rational Numbers? ...ANSWER...The set of all fractions of Integers
What are Real Numbers? ...ANSWER...All the numbers on the number line
What are Irrational Numbers? ...ANSWER...Any real number that is not rational
What is cardinality? ...ANSWER...The number of elements in a set
How is cardinality expressed? ...ANSWER...|A|
Every set lives within a what? ...ANSWER...Universal Set (U)
What is the Compliment of a set, and how is it expressed? ...ANSWER...The set of all
elements of the universe that are not elements of A; A'
When is set A a Subset of set B? ...ANSWER...If all the elements of set A are also in set
B
What is the symbol for Subset? ...ANSWER...
When is set A a Proper Subset of Set B? ...ANSWER...If A is a subset of B and they are
not the same.
What is the symbol for a Proper Subset? ...ANSWER...
The Empty set is a subset of which set? ...ANSWER...Every set
What is the Intersection of sets A and B? ...ANSWER...The set of all elements common
between both A and B
What is the symbol for Intersection? ...ANSWER...
When are sets A and B Disjoint? ...ANSWER...If there are no common elements
between sets A and B
What is the Union of sets A and B? ...ANSWER...The set of all elements in both A and
B
