Math221 - Mathematics for Computer Science S1-2021 Assignment 1 (Each question worth 10 marks) 1. Write the following statement in predicates using quantifiers: The sum of an odd integer and an even integer is odd. Some integers are not natural numbers. There are computes that do not use any Microsoft product. 2. Using substitution method to prove the following equivalence: (p=qvr) = (p^-q=1) 3. Let P, Q and R be simple statements. Determine whether the following compound statement is a tautology, contradiction or contingent statement: (QAP = R)= (QAR) 4. Prove or disprove that the product of an odd number and an even number is even. 5. Determine whether the following statements are True or False: (11) OCP({1, 2, }) O E P({1, 2}) OP({1, 2}) O E {{0}} (111) (iv) {{0, 1, 2} 6. Let the universal set be R and let A = {x R: 5