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vova2212 [387]
3 years ago
12

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

Mathematics
1 answer:
V125BC [204]3 years ago
4 0

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

Compare this to the converse and contrapositive of <em>p</em> ⇒ <em>q</em>.

Converse: <em>q</em> ⇒ <em>p</em>

Contrapositive: ¬<em>q</em> ⇒ ¬<em>p</em>

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

Then the inverse of the given statement is

"If a number is <u>not</u> doubled, then the result is <u>not</u> even."

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