Question

Determine which of the following quantified statement is false ______.

Options

• ∀ x ∈ N, x² > x

• ∃ x ∈ N, x² = x

• ∀ x ∈ N, such that x³ > 0

• ∃ x ∈ N  such that x² < 0

Answer 1

Determine which of the following quantified statement is false ∀ x ∈ N, x² > x.

Explanation:

∀ x ∈ N, x² > x is the false statement, since for x = 1, x² = 1.

 Here, statement x² > x is not applicable.