Question

If A ≡ {7, 8, 10, 12}, determine which of the following quantified statement is true.

Options

• ∃ x ∈ A, such that x + 7 = 10

• ∀ x ∈ A, x + 4 ≤ 13

• ∀ x ∈ A, 2x + 3 ≤ 20

• ∃ x ∈ A, such that x + 4 > 13

Answer 1

∃ x ∈ A, such that x + 4 > 13

Explanation:

Here, x = 12 satisfies x + 4 > 13

∴ option (D) is correct.