Question
Download Solution PDFWhich of the following statement is logically equivalent to the statement "All tigers are hunting animals"?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFThe correct answer is No tigers are non-hunting animals.
Key Points The statement "No tigers are non-hunting animals" is logically equivalent to the statement "All tigers are hunting animals."
Both statements express the same relationship between tigers and non-hunting animals, but they present it in a different form. The original statement asserts that there are no tigers that belong to the category of non-hunting animals. In logical terms, it can be represented as:
No tigers → Non-hunting animals.
To make it logically equivalent, we can rephrase the statement using the principle of contraposition:
All non-hunting animals → Not tigers.
By using the contrapositive, we can see that the two statements express the same idea. They both convey that every member of the non-hunting animal category cannot be found within the category of tigers.
Hence, the correct answer is No tigers are non-hunting animals.
Last updated on Jul 21, 2025
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