Suppose that P(x, y) is a predicate with two free variable, x and y. Let the domain for x consist of the values 1, 2, 3, 4, and 5, and the domain for y consists of the values A and B. EXPRESS THE FOLLOWING QUANTIFIED STATEMENTS USING CONJUNCTIONS AND DISCONJUNCTIONS (a) ∀x∃yP(x, y) (b) ∃y∀xP(x, y)
Suppose that P(x, y) is a predicate with two free variable, x and y. Let the domain for x consist of the values 1, 2, 3, 4, and 5, and the domain for y consists of the values A and B. EXPRESS THE FOLLOWING QUANTIFIED STATEMENTS USING CONJUNCTIONS AND DISCONJUNCTIONS (a) ∀x∃yP(x, y) (b) ∃y∀xP(x, y)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Suppose that P(x, y) is a predicate with two free variable, x and y. Let the domain for x consist of the values 1, 2, 3, 4, and 5, and the domain for y consists of the values A and B. EXPRESS THE FOLLOWING QUANTIFIED STATEMENTS USING CONJUNCTIONS AND DISCONJUNCTIONS
(a) ∀x∃yP(x, y)
(b) ∃y∀xP(x, y)
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