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Assumptions:All X items are blue.D items are always yellow or the same colour as X items.Only blue items are for commercial use.Conclusion:All D items are for commercial use.If the assumptions are true, is the conclusion:Incorrect Cannot be determined based on the information available Correct

Question

Assumptions:All X items are blue.D items are always yellow or the same colour as X items.Only blue items are for commercial use.Conclusion:All D items are for commercial use.If the assumptions are true, is the conclusion:Incorrect Cannot be determined based on the information available Correct

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Solution

The conclusion is correct. Here's the step-by-step reasoning:

  1. All X items are blue.
  2. D items are always yellow or the same colour as X items. Since X items are blue, D items can be either blue or yellow.
  3. Only blue items are for commercial use. This means that if D items are blue, they are for commercial use.
  4. Therefore, if D items are the same color as X items (which are blue), they are for commercial use. If D items are yellow, they are not for commercial use.

However, the conclusion states that "All D items are for commercial use." This would only be true if all D items are blue. Since the assumptions allow for D items to be yellow, the conclusion is not necessarily true based on the information available. So, the answer is "Cannot be determined based on the information available."

This problem has been solved

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