The inverse of 'If p, then q' is which?

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Multiple Choice

The inverse of 'If p, then q' is which?

When you have a conditional like “If p, then q,” forming the inverse means negating both parts but keeping the order: “If not p, then not q.” This is the standard way to create the inverse, and it’s different from the contrapositive, which would be “If not q, then not p,” and from the converse, which would be “If q, then p.” The original statement remains “If p, then q,” and it’s not generally true that the inverse shares the same truth value as the original. For example, even if p implies q, it doesn’t guarantee that not p implies not q.

When you have a conditional like “If p, then q,” forming the inverse means negating both parts but keeping the order: “If not p, then not q.” This is the standard way to create the inverse, and it’s different from the contrapositive, which would be “If not q, then not p,” and from the converse, which would be “If q, then p.” The original statement remains “If p, then q,” and it’s not generally true that the inverse shares the same truth value as the original. For example, even if p implies q, it doesn’t guarantee that not p implies not q.

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