MATH 110 CERTIFICATION EVALUATION
COMPLETE QUESTIONS AND SOLUTIONS
GRADED APLUS
●● 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:
COMPLETE QUESTIONS AND SOLUTIONS
GRADED APLUS
●● 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: