(4 Marks) . (0) Let x range over the cupcakes on a tray. Let I(x) be the predicate "x has pink icing" Let S(x) be the pr

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4 Marks 0 Let X Range Over The Cupcakes On A Tray Let I X Be The Predicate X Has Pink Icing Let S X Be The Pr 1 (122.55 KiB) Viewed 22 times

(4 Marks) . (0) Let x range over the cupcakes on a tray. Let I(x) be the predicate "x has pink icing" Let S(x) be the predicate "x has green sprinkle" Say the tray contains the following four cupcakes; Pink icing with brown sprinkles Pink icing with green sprinkles Yellow icing with green sprinkles Yellow icing with purple sprinkles Which of the following are true and which are false? Explain your answers. (a) Vx (-1(x) 1 -S(x)) (b) 3x (1(x) = S(x)) (c) Vx1(x) V VX 8(x) . (ii) Let p, q, and r be the propositions p: You do not have the flu. q: You do not miss the final examination. r: You pass the course. (a) Write the proposition (p+r) v (q + r) as an English sentence. (b) Use truth table to show (pr) v (q + r) = (p Aq) → (c) Write an equivalent English sentence for the sentence in (a) using (p Aq) r Screenshot