Question: Math221 Mathematics for Computer Science 53-2024 Assignment 1 (Each guestion carries 10 marks) Let Z be the set of integers, & be the set of

Math221 Mathematics for Computer Science 53-2024 Assignment 1 (Each guestion carries 10 marks) Let Z be the set of integers, & be the set of real numbers, N be the set of natural numbers, 4 = {x e R:-5 yviz)s(~Xn~y=>1z) Let P, O and R be simplest statements. Determine whether the following statement is a tautology, contradiction or contingent statement: (QAP=R)=0QAR Prove that for any integerm Z, m? + 3m + 9 is odd. Specify the following statement in symbolic form: (1) The sum of an odd integer and an even integer is odd. (11) Some integers are not natural numbers. (i1i) There are computes that do not use any Microsoft product. Determine whether the following statements are True or False. (i) {a, b} {a b} (i) @

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