Question: 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

Let P(x) be the statement "Student x knows calculus" and let

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 of these 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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