The contrapositive of p → q is the proposition of
Question
The contrapositive of p → q is the proposition of
Solution
The contrapositive of the proposition "p → q" is "¬q → ¬p".
Here's the step by step explanation:
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The proposition "p → q" can be read as "if p then q".
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The contrapositive of a proposition is formed by negating both the hypothesis and the conclusion, and then reversing the direction of the implication.
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So, the contrapositive of "p → q" is "¬q → ¬p", which can be read as "if not q then not p".
This means that if the original proposition "p → q" is true, then the contrapositive "¬q → ¬p" is also true.
Similar Questions
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