# Question: discrete math mathcsci 2112 2ai express symbolically using quantifiers defining...

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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