Discrete Math MATH/CSCI 2112

2(a)(i) Express symbolically, using quantifiers, defining predicate(s) and domain: "If a quadrilateral is a rectangle then it has four equal angles "(ii) Write the converse of your quantified statement above. (iii) Is the original implication true? Is the converse true? Explain.(iv) In light of your answers to the last two questions above, express a quantified statement to identify rectangles

(b) Let G represent the set of all T.V. game shows. Let P be the set of people in your neighbourhood. Let C(p; g) be the predicate that the person p appeared on game show g and D (p) be the predicate the p is a doctor. Using the above defnitions, (i) translate: "There is a person in your neighbourhood who has been a contestant on a game show but is not a doctor" into symbolic notation. (ii) Negate your symbolic expression (show steps). (iii)Finally, translate the statement from (ii) into English