Question
Download Solution PDFWhich of the following statements is contrapositive of "All whales are mammals"?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFThe correct option is: All non-mammals are non-whales.
Important Points
In logic, the contrapositive of a statement is formed by negating both the subject and the predicate of the original statement and then reversing the order.
- The original statement is "All whales are mammals." To find its contrapositive, we first negate both the subject ("whales") and the predicate ("mammals"):
1. Negation of "All whales are mammals" -> "All non-whales are non-mammals."
2. Reverse the order: "All non-mammals are non-whales."
Therefore, Option 2) "All non-mammals are non-whales" is the contrapositive of the original statement "All whales are mammals."
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