203k views
2 votes
Find the contrapositive of p⇒q.

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

1 Answer

7 votes

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'.

User Ahmed Gaber
by
7.3k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories