If all cats are mammals, and some mammals are black, which of the following statements must be true?
Question
If all cats are mammals, and some mammals are black, which of the following statements must be true?
Solution
To determine which statement must be true, let's break down the given information:
- All cats are mammals.
- Some mammals are black.
Based on these statements, we can draw a conclusion:
Since all cats are mammals, and some mammals are black, it is guaranteed that some cats are black. Therefore, the statement "Some cats are black" must be true.
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