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If all roses are flowers and some flowers are red, which of the following statements must be true?*All red things are roses.Some roses are red.All flowers are red.Some red things are flowers.

Question

If all roses are flowers and some flowers are red, which of the following statements must be true?*All red things are roses.Some roses are red.All flowers are red.Some red things are flowers.

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Solution

The statement "Some red things are flowers" must be true. Here's why:

  1. The first premise is "all roses are flowers". This means that every rose is a flower, but it doesn't mean that all flowers are roses. There could be other types of flowers as well.

  2. The second premise is "some flowers are red". This means that there are at least some flowers that are red in color.

  3. From these two premises, we can't conclude that "all red things are roses" because the second premise only says that some flowers (which could be roses or could be other types of flowers) are red, not all of them.

  4. We also can't conclude that "some roses are red" because the second premise doesn't specify which types of flowers are red.

  5. We can't conclude that "all flowers are red" because the second premise only says that some flowers are red, not all of them.

  6. However, we can conclude that "some red things are flowers" because the second premise says that some flowers are red. This means that there are at least some red things that are flowers.

This problem has been solved

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