UGRD-CS6105 Discrete Mathematics Study Guide 2023 with complete solution

UGRD-CS6105 Discrete Mathematics Study Guide 2023 with complete solution Classify the sentence below as an atomic statement, a molecular statement, or not a statement at all. If the statement is molecular, identify what kind it is (conjuction, disjunction, conditional, biconditional, negation). Every natural number greater than 1 is either prime or composite. molecular conditional In my safe is a sheet of paper with two shapes drawn on it in colored crayon. One is a square, and the other is a triangle. Each shape is drawn in a single color. Suppose you believe me when I tell you that if the square is blue, then the triangle is green. What do you therefore know about the truth value of the following statement? If the triangle is not green, then the square is not blue. true Let A = {1, 2, 3, 4, 5} and B = {3, 4, 5, 6, 7} Find A U B {1, 2, 3, 4, 5, 6, 7} In my safe is a sheet of paper with two shapes drawn on it in colored crayon. One is a square, and the other is a triangle. Each shape is drawn in a single color. Suppose you believe me when I tell you that if the square is blue, then the triangle is green. What do you therefore know about the truth value of the following statement? The square and the triangle are both green. false Let A = {3, 4, 5}. Find the cardinality of P(A). 8 Classify the sentence below as an atomic statement, a molecular statement, or not a statement at all. If the statement is molecular, identify what kind it is (conjuction, disjunction, conditional, biconditional, negation). The Broncos will win the Super Bowl or I'll eat my hat. molecular conjunction Classify the sentence below as an atomic statement, a molecular statement, or not a statement at all. If the statement is molecular, identify what kind it is (conjuction, disjunction, conditional, biconditional, negation). Everybody needs somebody sometime. atomic n/a Let A = {1, 2, 3, 4, 5} and B = {3, 4, 5, 6, 7} Find A ∩ B {3, 4, 5} The cardinality of {3, 5, 7, 9, 5} is 5. False Let A = {1, 2, 3, 4, 5} and B = {3, 4, 5, 6, 7} Find A B {1, 2} Determine whether the sentence below is an atomic statement, a molecular statement, or not a statement at all. The customers wore shoes and they wore socks. molecular Find |A ∩ B| when A = {1, 3, 5, 7, 9} and B {2, 4, 6, 8, 10} 0 Classify the sentence below as an atomic statement, a molecular statement, or not a statement at all. If the statement is molecular, identify what kind it is (conjuction, disjunction, conditional, biconditional, negation). We can have donuts for dinner, but only if it rains. molecular conditional Find the cardinality of S = {1, {2,3,4},0} 3 Find | R | when R = {2, 4, 6,..., 180} 90 Find the cardinality of R = {20,21,...,39, 40} 21 Determine whether the sentence below is an atomic statement, a molecular statement, or not a statement at all. Customers must wear shoes. Not a statement Classify the sentence below as an atomic statement, a molecular statement, or not a statement at all. If the statement is molecular, identify what kind it is (conjuction, disjunction, conditional, biconditional, negation). The sum of the first 100 odd positive integers. atomic n/a Determine whether the sentence below is an atomic statement, a molecular statement, or not a statement at all.