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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 is 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 is true?
All cats are dogs.
Some cats are not dogs.
All mammals are cats.
Some dogs are cats.
Show Solution
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Since all cats are mammals and some mammals are not dogs, it follows that some cats 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 is true?
Solution:
Since all cats are mammals and some mammals are not dogs, it follows that some cats cannot be dogs.
Steps: 5
Show Steps
Step 1: Understand that all cats belong to the group called mammals.
Step 2: Recognize that within the group of mammals, there are some that are not dogs.
Step 3: Since all cats are mammals, and some mammals are not dogs, it means that those mammals that are not dogs can include cats.
Step 4: Therefore, it is possible that some cats are among the mammals that are not dogs.
Step 5: Conclude that this means some cats cannot be dogs.
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