Answer to Question #335740 in Discrete Mathematics for pitou walou

Question

1. Let P(x, y) be the statement "pupil x has taken class y", where the domain for x consists of pupils and y consists of Discrete Mathematics. Express each of the quantification in English sentences.

a.∀x∀y P(x, y)

b∀x∃y P(x, y)

c∃x∃y P(x, y)

d∃x∀y P(x, y)

Answer 1

a. All pupil has taken class of all Discrete Mathematics.

b. All pupil has taken class of some Discrete Mathematics.

c.Some pupil has taken class of some Discrete Mathematics.

d. Some pupil has taken class of all Discrete Mathematics.