Which of the following statements is logically equivalent to the statement No metals are gases?

AAll non-metals are gases

BNo gases are metals ✓ Correct

CNo metals are non-gases

DAll non-gases are non-metals

Correct answer: (B) No gases are metals

Explanation

No gases are metals is logically equivalent to the given E proposition.

No metals are gases is a universal negative, type E.

Conversion of an E statement is valid and simply exchanges subject and predicate.

That gives No gases are metals with the same truth conditions.

The converse of E preserves logical equivalence.

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