The contrapositive of p → q is the proposition of ____________ans.¬q → p¬p → ¬q ¬q → ¬pq → p Previous Marked for Review Next

The contrapositive of p → q is ¬q → ¬p. This is a fundamental concept in logic and mathematics. Here's how it works:

1. Start with the original statement, p → q. This can be read as "if p then q."

2. The contrapositive of a statement is formed by negating both the hypothesis and the conclusion, and then reversing the direction of the implication.

3. So, for p → q, we first negate p and q to get ¬p and ¬q.

4. Then we reverse the direction of the implication to get ¬q → ¬p.

So, the contrapositive of p → q is ¬q → ¬p.