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