question archive Which of the following is the contrapositive of "No non-arachnids are non-ants"? No arachnids are ants

Which of the following is the contrapositive of "No non-arachnids are non-ants"? No arachnids are ants

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Which of the following is the contrapositive of "No non-arachnids are non-ants"?

No arachnids are ants.

All ants are arachnids.

Some non-ants are non-arachnids.

No ants are arachnids.

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Answer:

The statement "No non-arachnids are non-ants" is a statement of the form "No Ps are Qs", where P is non-arachnids and Q is non-ants. The contrapositive of "No Ps are Qs" is "No non- Qs are non- Ps". So let's substitute:

No non-non-ants are non-non-arachnids, which is the same as

No ants are arachnids.

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