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Mathematics 17 Online
OpenStudy (anonymous):

What is the inverse of the following statement? "If it is not Wednesday, then it is sunny."

OpenStudy (anonymous):

If its not sunny, its Wednesday.

OpenStudy (mathlegend):

If it is not sunny then it is wednesday. I believe the objective here is to switch the hypothesis and the conclusion

OpenStudy (mathlegend):

@heyitsminnaaax3 inverse would mean the opposite.

OpenStudy (mathstudent55):

Memorize this: Statement: If p, then q. Converse: If q, then p. Inverse: If not p, then not q. Cotrapositive: If not q, then not p.

OpenStudy (mathstudent55):

You need to negate the hypothesis and the conclusion. If p , then q . If it is not Wednesday , then it is sunny." p = it is not Wednesday q = it is sunny Now negate p and q: not p = it is Wednesday not q = it is not sunny If not p , then not q . If it is Wednesday , then it is not sunny. If it is Wednesday, then it is not sunny.

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