MATH 110|MATH 110 FINAL EXAM QUESTIONS AND WELL
ELABORATED ANSWERS|NEW!!{ACTUAL EXAM}}
1. Conditional Statement: If, Then statement (A=B)
2. Converse Statement: Switched conditional statement (B=A)
3. Inverse Statement: Negative conditional statement (-A=-B)
4. Contrapositive Statement: Negative and switched conditional statement (-B=-A)
5. What is the most common logical error?: Assuming that the converse or inverse of a
given statement must be true
6. What do Existential Quantifiers indicate?: The existence of something
7. What are the key phrases/terms for Existential Quantifiers?: Some, at least, there
exists
8. What do Universal Quantifiers indicate?: That some quality is shared by none of or
every item in a set
9. What are some key terms/phrases for Universal Quantifiers?: All, every, none, no
10. What should be used to negate statements?: Use the opposite quantifier
11. Counter examples prove what false?: Statements
12. What is a set?: A collection of items that can be described in words or with roster
notation by using brackets {}
13. What are Natural Numbers?: All numbers zero through infinity
14. What is the symbol for Natural Numbers?:
15. What is the symbol for Integers?:
16. What is the symbol for Rational Numbers?:
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, MATH 110|MATH 110 FINAL EXAM QUESTIONS AND WELL
ELABORATED ANSWERS|NEW!!{ACTUAL EXAM}}
17. What is the symbol for Real Numbers?:
18. What are Integers?: All numbers negative infinity through positive infinity
19. What are Rational Numbers?: The set of all fractions of Integers
20. What are Real Numbers?: All the numbers on the number line
21. What are Irrational Numbers?: Any real number that is not rational
22. What is cardinality?: The number of elements in a set
23. How is cardinality expressed?: |A|
24. Every set lives within a what?: Universal Set (U)
25. 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'
26. When is set A a Subset of set B?: If all the elements of set A are also in set B
27. What is the symbol for Subset?:
28. When is set A a Proper Subset of Set B?: If A is a subset of B and they are not the
same.
29. What is the symbol for a Proper Subset?:
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ELABORATED ANSWERS|NEW!!{ACTUAL EXAM}}
1. Conditional Statement: If, Then statement (A=B)
2. Converse Statement: Switched conditional statement (B=A)
3. Inverse Statement: Negative conditional statement (-A=-B)
4. Contrapositive Statement: Negative and switched conditional statement (-B=-A)
5. What is the most common logical error?: Assuming that the converse or inverse of a
given statement must be true
6. What do Existential Quantifiers indicate?: The existence of something
7. What are the key phrases/terms for Existential Quantifiers?: Some, at least, there
exists
8. What do Universal Quantifiers indicate?: That some quality is shared by none of or
every item in a set
9. What are some key terms/phrases for Universal Quantifiers?: All, every, none, no
10. What should be used to negate statements?: Use the opposite quantifier
11. Counter examples prove what false?: Statements
12. What is a set?: A collection of items that can be described in words or with roster
notation by using brackets {}
13. What are Natural Numbers?: All numbers zero through infinity
14. What is the symbol for Natural Numbers?:
15. What is the symbol for Integers?:
16. What is the symbol for Rational Numbers?:
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, MATH 110|MATH 110 FINAL EXAM QUESTIONS AND WELL
ELABORATED ANSWERS|NEW!!{ACTUAL EXAM}}
17. What is the symbol for Real Numbers?:
18. What are Integers?: All numbers negative infinity through positive infinity
19. What are Rational Numbers?: The set of all fractions of Integers
20. What are Real Numbers?: All the numbers on the number line
21. What are Irrational Numbers?: Any real number that is not rational
22. What is cardinality?: The number of elements in a set
23. How is cardinality expressed?: |A|
24. Every set lives within a what?: Universal Set (U)
25. 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'
26. When is set A a Subset of set B?: If all the elements of set A are also in set B
27. What is the symbol for Subset?:
28. When is set A a Proper Subset of Set B?: If A is a subset of B and they are not the
same.
29. What is the symbol for a Proper Subset?:
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