MATH 110 (Latest Update) Exam |
Questions and Verified Answers | 100% Correct | A+
Conditional Statement -✓✓If, Then statement (A=B)
Converse Statement -✓✓Switched conditional statement (B=A)
Inverse Statement -✓✓Negative conditional statement (-A=-B)
Contrapositive Statement -✓✓Negative and switched conditional statement (-B=-A)
What is the most common logical error? -✓✓Assuming that the converse or inverse of a
given statement must be true
What do Existential Quantifiers indicate? -✓✓The existence of something
What are the key phrases/terms for Existential Quantifiers? -✓✓Some, at least, there
exists
What do Universal Quantifiers indicate? -✓✓That some quality is shared by none of or
every item in a set
What are some key terms/phrases for Universal Quantifiers? -✓✓All, every, none, no
What should be used to negate statements? -✓✓Use the opposite quantifier
Counter examples prove what false? -✓✓Statements
What is a set? -✓✓A collection of items that can be described in words or with roster
notation by using brackets {}
What are Natural Numbers? -✓✓All numbers zero through infinity
What is the symbol for Natural Numbers? -✓✓
What is the symbol for Integers? -✓✓
What is the symbol for Rational Numbers? -✓✓
What is the symbol for Real Numbers? -✓✓
What are Integers? -✓✓All numbers negative infinity through positive infinity
, What are Rational Numbers? -✓✓The set of all fractions of Integers
What are Real Numbers? -✓✓All the numbers on the number line
What are Irrational Numbers? -✓✓Any real number that is not rational
What is cardinality? -✓✓The number of elements in a set
How is cardinality expressed? -✓✓|A|
Every set lives within a what? -✓✓Universal Set (U)
What is the Compliment of a set, and how is it expressed? -✓✓The set of all elements
of the universe that are not elements of A; A'
When is set A a Subset of set B? -✓✓If all the elements of set A are also in set B
What is the symbol for Subset? -✓✓
When is set A a Proper Subset of Set B? -✓✓If A is a subset of B and they are not the
same.
What is the symbol for a Proper Subset? -✓✓
The Empty set is a subset of which set? -✓✓Every set
What is the Intersection of sets A and B? -✓✓The set of all elements common between
both A and B
What is the symbol for Intersection? -✓✓
When are sets A and B Disjoint? -✓✓If there are no common elements between sets A
and B
What is the Union of sets A and B? -✓✓The set of all elements in both A and B
What is the symbol for Union? -✓✓
What does the Principle in Inclusion and Exclusion (P.I.E) determine? -✓✓The
cardinality of multiple Unioned sets
What is the formula for P.I.E? -✓✓|A u B| = |A| + |B| - |A n B|
Questions and Verified Answers | 100% Correct | A+
Conditional Statement -✓✓If, Then statement (A=B)
Converse Statement -✓✓Switched conditional statement (B=A)
Inverse Statement -✓✓Negative conditional statement (-A=-B)
Contrapositive Statement -✓✓Negative and switched conditional statement (-B=-A)
What is the most common logical error? -✓✓Assuming that the converse or inverse of a
given statement must be true
What do Existential Quantifiers indicate? -✓✓The existence of something
What are the key phrases/terms for Existential Quantifiers? -✓✓Some, at least, there
exists
What do Universal Quantifiers indicate? -✓✓That some quality is shared by none of or
every item in a set
What are some key terms/phrases for Universal Quantifiers? -✓✓All, every, none, no
What should be used to negate statements? -✓✓Use the opposite quantifier
Counter examples prove what false? -✓✓Statements
What is a set? -✓✓A collection of items that can be described in words or with roster
notation by using brackets {}
What are Natural Numbers? -✓✓All numbers zero through infinity
What is the symbol for Natural Numbers? -✓✓
What is the symbol for Integers? -✓✓
What is the symbol for Rational Numbers? -✓✓
What is the symbol for Real Numbers? -✓✓
What are Integers? -✓✓All numbers negative infinity through positive infinity
, What are Rational Numbers? -✓✓The set of all fractions of Integers
What are Real Numbers? -✓✓All the numbers on the number line
What are Irrational Numbers? -✓✓Any real number that is not rational
What is cardinality? -✓✓The number of elements in a set
How is cardinality expressed? -✓✓|A|
Every set lives within a what? -✓✓Universal Set (U)
What is the Compliment of a set, and how is it expressed? -✓✓The set of all elements
of the universe that are not elements of A; A'
When is set A a Subset of set B? -✓✓If all the elements of set A are also in set B
What is the symbol for Subset? -✓✓
When is set A a Proper Subset of Set B? -✓✓If A is a subset of B and they are not the
same.
What is the symbol for a Proper Subset? -✓✓
The Empty set is a subset of which set? -✓✓Every set
What is the Intersection of sets A and B? -✓✓The set of all elements common between
both A and B
What is the symbol for Intersection? -✓✓
When are sets A and B Disjoint? -✓✓If there are no common elements between sets A
and B
What is the Union of sets A and B? -✓✓The set of all elements in both A and B
What is the symbol for Union? -✓✓
What does the Principle in Inclusion and Exclusion (P.I.E) determine? -✓✓The
cardinality of multiple Unioned sets
What is the formula for P.I.E? -✓✓|A u B| = |A| + |B| - |A n B|
