Question: 16. (1.1 Propositional Logic) Let p and q be the propositions p: The election is decided. 9: The votes have been counted. Which compound proposition

16. (1.1 Propositional Logic) Let p and q be the propositions p: The election is decided. 9: The votes have been counted. Which compound proposition is NOT expressed properly as an English sentence? a. b. Proposition Sentence 79 p If the votes have not been counted, then the election is not decided pa The election is decided if and only if the votes have been counted. pva The election is decided and the votes have been counted. -V(PAG) Either the votes have not been counted, or else the election is not decided and the votes have been counted. c. d. 17. (2.2 Set operations) Let A = {0,2,4,6,8,10), B = {0,1,2,3,4,5,6), and C = {4,5,6,7,8,9,10). Find (AUB) nC. a. [4,6) b. (4,5,6,8,10) C. (4,5,6,7,8,9,10) d. (0,2,4,5,6,7,8,9,10) 18. (1.4 Predicates and Quantifiers) Let C(x) be the statement "x has a cat" and let D(x) be the statement "x has a dog," and let F(x) be the statement "x has a ferret." Which of the expressions given below accurately represents the statement "For each of the three animals, cats, dogs, and ferrets, there is a student in your class who has this animal as a pet."? Let the domain consist of all students in your class. a. (ExC(x)) ^ (3xD(x)) (3xF(x)) b. 3x(C(x) D(x) AF(x)) C. Vx(C(x) + 2(x) v F(x)) d. 3x(C(x) AD(x) A F(x)
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