The statement p → q represents "If a number is doubled, the result is even.” Which represents the inverse?

The inverse of an implication p ⇒ q is ¬p ⇒ ¬q (where ¬ means "not", denoting the logical negation).

Compare this to the converse and contrapositive of p ⇒ q.

Converse: q ⇒ p

Contrapositive: ¬q ⇒ ¬p

(in other words, the contrapositive is the inverse of the converse)

Then the inverse of the given statement is

"If a number is not doubled, then the result is not even."

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step-by-step explanation:

answer

false

explanation

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