Solved: Let P(x) be the statement "student x knows
Chapter 1, Problem 1.14(choose chapter or problem)
Let P(x) be the statement "student x knows calculus" and let Q(y) be the statement "class y contains a student who knows calculus." Express each ofthese as quantifications of P(x) and Q(y). a) Some students know calculus. b) Not every student knows calculus. c) Every class has a student in it who knows calculus. d) Every student in every class knows calculus. e) There is at least one class with no students who know calculus.
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