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Find the contrapositive of p⇒q.

Find the contrapositive of p⇒q.-example-1

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Final answer:

The contrapositive of the implication p⇒q is ¬q⇒¬p, which negates both p and q and reverses their order.

Step-by-step explanation:

To find the contrapositive of an implication like p⇒q, you need to reverse the hypothesis and the conclusion and negate both of them.

In logical terms, the contrapositive of p⇒q is ¬q⇒¬p, where ¬ represents negation. If the original statement p⇒q is true, then its contrapositive is also guaranteed to be true.

For example, if p represents 'it is raining' and q represents 'the ground is wet,' then the contrapositive is 'if the ground is not wet, then it is not raining'.

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User Ahmed Gaber
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