MATH 110: Test 1 Review
Roster Method - Answers -{ }
Natural Numbers - Answers -{1, 2, 3, 4, ....}
Whole Numbers - Answers -{0, 1, 2, 3, ... }
Integers - Answers -{...-3, -2, -1, 0, 1, 2, 3 ...}
Cardinality - Answers -# of elements in a set
Complements - Answers -Sets outside of other sets
Subsets - Answers -Sets inside of other sets
Intersection - Answers -∩; set of all elements that are in common to both A and B
Union - Answers -∪; set of all elements that are in A or are in B
Inclusion-Exclusion Principle - Answers -|A∪B| = |A| + |B| - |A∩B|
Negation - Answers -∼p
Conjunction - Answers -p∧q
Disjunction - Answers -p∨q
Conditional - Answers -p→q
Biconditional - Answers -p↔q
De Morgan's Laws - Answers -~(p ∧ q) ≡ ~p ∨ ~q
~(p ∨ q) ≡ ~p ∧ ~q
Tautology - Answers -statement that is always true
Self-contradiction - Answers -statement that is always false
True - Answers -T/F: p → q ≡ ∼p∨q
True - Answers -T/F: p↔q is true only when both p and q are true/false
Roster Method - Answers -{ }
Natural Numbers - Answers -{1, 2, 3, 4, ....}
Whole Numbers - Answers -{0, 1, 2, 3, ... }
Integers - Answers -{...-3, -2, -1, 0, 1, 2, 3 ...}
Cardinality - Answers -# of elements in a set
Complements - Answers -Sets outside of other sets
Subsets - Answers -Sets inside of other sets
Intersection - Answers -∩; set of all elements that are in common to both A and B
Union - Answers -∪; set of all elements that are in A or are in B
Inclusion-Exclusion Principle - Answers -|A∪B| = |A| + |B| - |A∩B|
Negation - Answers -∼p
Conjunction - Answers -p∧q
Disjunction - Answers -p∨q
Conditional - Answers -p→q
Biconditional - Answers -p↔q
De Morgan's Laws - Answers -~(p ∧ q) ≡ ~p ∨ ~q
~(p ∨ q) ≡ ~p ∧ ~q
Tautology - Answers -statement that is always true
Self-contradiction - Answers -statement that is always false
True - Answers -T/F: p → q ≡ ∼p∨q
True - Answers -T/F: p↔q is true only when both p and q are true/false
