If all cats are mammals and some mammals are not dogs, which of the following statements is true?
Correct Answer: Some cats cannot be dogs.
- 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.
- Logical Deduction – The ability to draw conclusions based on given premises.
- Categorical Logic – Understanding relationships between categories (e.g., all, some) in logical statements.