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What is the logical translation of the following statement? “None of my friends are perfect.”

What is the logical translation of the following statement? “None of my friends are perfect.” Correct Answer ¬ ∃ x (F (x) ∧ P(x))

Statement: None of my friends are perfect

From option it can be considered:

F(x) – x is my friend

P(x) – x is perfect

In mathematical logic form:

“All my friends are imperfect” means

∀x (F(x) → ¬ P(x))

∀x (¬F(x) ∨ ¬P(x))

∀x ¬(F(x) ∧ P(x))

¬∃x (F(x) ∧  P(x))

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