Q-1

(a)

Let x, y, and 2 be the propositions: x: You get an A in this class y: You do every exercise in this book 2: You get an A on the nal exam Write these propositions using x, y and z and logical connectives(including negations) (i) For getting an A in the class, it is necessary to get A in the nal exam and doing every exercise in this book. (ii) You get an A on the nal, but you don't do every exercise in this book; nevertheless, you get an A in this class. Express the negations of this propositions using quantifiers "For every student in this class, there is some exercise that he/she has not solved". Let S(x, y) be "student x has not solved exercise y"