The domain for variables x and y is the set {1, 2, 3}. The table below gives the values of P (x, y) for every pair of elements from the domain. For example, P (2, 3) = F because the value in row 2, column 3, is F. Select the statement that is false. P 1 2 3 1 T T T 2 T F F 3 F T F Group of answer choices ∀y∃xP (x, y) ∃y∀xP (x, y) ∀x∃yP (x, y) ∃x∀yP (x, y)

Question

Mathematics

Fiona Gilmore

30 June, 13:41

The domain for variables x and y is the set {1, 2, 3}. The table below gives the values of P (x, y) for every pair of elements from the domain. For example, P (2, 3) = F because the value in row 2, column 3, is F. Select the statement that is false. P 1 2 3 1 T T T 2 T F F 3 F T F Group of answer choices ∀y∃xP (x, y) ∃y∀xP (x, y) ∀x∃yP (x, y) ∃x∀yP (x, y)

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Answers (1)

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Salvador Scott · Answer 1

Option B and C are correct answers.

Step-by-step explanation:

Option B and C are the correct options.

Option a is true since row 1 has all T.

so for X=1, P (x, y) is true for all y.

Option b is false since no column has all F.

Option C is false since no column has all F.

Option D is true since 1st row has all T.

hence option B and C are correct answers.