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If all cats are mammals and some mammals are not dogs, which of the following st
If all cats are mammals and some mammals are not dogs, which of the following statements must be true?
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Practice Questions
1 question
Q1
If all cats are mammals and some mammals are not dogs, which of the following statements must be true?
All cats are dogs.
Some cats are not dogs.
All mammals are cats.
Some dogs are not mammals.
Show Solution
Copy
Since not all mammals are dogs, it follows that some cats, being mammals, cannot be dogs.
Questions & Step-by-step Solutions
1 item
Q
Q: If all cats are mammals and some mammals are not dogs, which of the following statements must be true?
Solution:
Since not all mammals are dogs, it follows that some cats, being mammals, cannot be dogs.
Steps: 4
Show Steps
Step 1: Understand that all cats belong to the group of mammals.
Step 2: Recognize that some mammals do not belong to the group of dogs.
Step 3: Since all cats are mammals, if some mammals are not dogs, it means that at least some cats cannot be dogs.
Step 4: Conclude that it must be true that some cats are not dogs.
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