Discrete Math Unit 1 Test Questions And Answers Well Elaborated.

∈ - correct answer members of a set ∉ - correct answer non member of a set A ⊆ B - correct answer subset - members in A are same in B A ⊂ B - correct answer proper subset - A is a subset of B but not equal to B ∅ or { } - correct answer empty set - contains no members |A| - correct answer cardinality - number of members in a set ( no repetitiveness) P(A) - correct answer power set - set of all subsets A ∪ B - correct answer union - combination of all elements in A and B A ∩ B - correct answer intersection - set of members in both A and B U - correct answer universal set - everything Ā or U - A - correct answer complement of set A - all members not in A A - B - correct answer difference - all elements in A but not in B Partition of a set: - correct answer X = {1, 2, 3, 4, 5, 6, 7, 8} Partition S = {{1, 2, 3}, {4, 5, 6}, {7, 8}} Cartesian Product X * Y - correct answer {1, 2, 3, 4} = (X,1), (X,2), (X,3), (X,4), (Y,1), (Y,2), (Y,3), (Y,4) Infinite set - correct answer contains infinite many elements Propositions - correct answer A sentence that is either T or F but not both AND conjunction, ∧ - correct answer p q p ∧q T T T T F F F T F F F F OR, Disjunction, ∨ - correct answer p q p ∨ q T T T T F T F T T F F F NOT, negation, ¬p - correct answer p ¬p T F F T Operator Precedence: - correct answer 1. Not ¬ 2. And ∧ 3. Or ∨ IF - THEN, conditional → - correct answer p q p→q T T T T F F F T T F F T IF and only IF, biconditional ↔ - correct answer p q p↔q T T T T F F F T F F F T