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Question
The contrapositive of the statement “If p, then q”, is ______.
Options
If q, then p
If p, then ~ q
If ~ q, then ~ p
If ~ p, then ~ q
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Solution
The contrapositive of the statement “If p, then q”, is if ~ q, then ~ p.
Explanation:
Here the statement is “If p, then q”
i.e. p → q
Contrapositive of the statement p → q is (~ q) → (~ p)
i.e., If ~ q, then ~ p.
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