Question

Use the Law of Detachment and the Law of Syllogism to draw a conclusion from the following true statements. If you do not get enough sleep, then you will be tired. If you are tired, then you cannot pay attention in school. You only got three hours of sleep on Tuesday night. You only got three hours of sleep on Tuesday night. You cannot pay attention in school on Wednesday. You did not get enough sleep on Tuesday night. You are tired on Wednesday.

Answer 1

By applying the Law of Detachment and the Law of Syllogism to the given statements, we can draw the following conclusions:

1. If you do not get enough sleep, then you will be tired. (Given)
2. If you are tired, then you cannot pay attention in school. (Given)
3. You only got three hours of sleep on Tuesday night. (Given)

Using the Law of Detachment, we can conclude:
4. You did not get enough sleep on Tuesday night. (Statement 3)

Using the Law of Syllogism, we can conclude:
5. You are tired on Wednesday. (Statement 1 and 4)
6. If you are tired, then you cannot pay attention in school. (Given)

Therefore, the final conclusion is:
7. You cannot pay attention in school on Wednesday. (Statement 6 and 5)