Suppose the domain of the propositional function P(x, y) consists of pairs x and y, where x is 2, 4, 6, 8, or 10 and y is 1, 2, 3, 4 or 5. 1.What is the truth value of ∀x ∃ y P(x,y)  where P(x,y) is the statement x=y+1 2.What is the truth value of  ∀x ∃ y P(x,y) where P(x,y) is the statement x>y

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Suppose the domain of the propositional function P(x, y) consists of pairs x and y, where x is 2, 4, 6, 8, or 10 and y is 1, 2, 3, 4 or 5.

1.What is the truth value of ∀x ∃ y P(x,y)  where P(x,y) is the statement x=y+1
2.What is the truth value of  ∀x ∃ y P(x,y) where P(x,y) is the statement x>y
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