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julie001

  • 3 years ago

What is the contrapositive of the following statement? “If there is rain, then the dog will not bark.”

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  1. ParthKohli
    • 3 years ago
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    The contrapositive of \(P \rightarrow Q\) is given by \(\neg Q \rightarrow \neg P\)

  2. julie001
    • 3 years ago
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    is it "If the dog will not bark, then there is rain."

  3. ParthKohli
    • 3 years ago
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    So, if a statement is 'If P then Q', then the contrapositive is If not Q then not P.

  4. ParthKohli
    • 3 years ago
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    Yeah

  5. julie001
    • 3 years ago
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    thanks!

  6. ParthKohli
    • 3 years ago
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    yw

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