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Answer each of the following questions. No justification required. (a) Consider the statement: "If a flower is red, then it is a rose." Check each of the following that would disprove the statement. O A red rose 0) A yellow rose 0) A red tulip O) A yellow tulip (b) Write the negation of the following proposition: "Every cute pet is a cat." (c) Write the following statement using mathematical quantifier notation: "Every integer x 2 2 is the sum of two positive integers smaller than x." (d) Consider a deck comprising only the 13 cards of suit . Suppose we choose a hand of 2 cards at random. What is the probability that the two chosen cards are the Ace and King (of ()? (e) Let f : N - N, where f(x) = [x/2] + 1. Check all that apply (you may have to check 0, 1, 2, or 3 boxes). f is. . . O injective O surjective O bijective