Guided Practice

Look at these statements, and answer the question that follows.

If you read a good book, then you enjoy yourself.
If you enjoy yourself, then your time is well spent.

What conclusion can you draw using the Law of Syllogism?

Student Selected Incorrect
A.
If your time is well spent, then you enjoyed yourself.

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B.
If you enjoyed yourself, then you read a good book.

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C.
If your time is well spent, then you read a good book.

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D.
If you read a good book, then your time is well spent.

5 answers

Correct answer: D. If you read a good book, then your time is well spent.

The Law of Syllogism allows us to draw conclusions based on two conditional statements. In this case, the first statement tells us that reading a good book leads to enjoying yourself, and the second statement tells us that enjoying yourself leads to your time being well spent. By using the Law of Syllogism, we can conclude that reading a good book leads to your time being well spent.
Look at these statements, and answer the question that follows.

If you are studying biology, then you are studying a science.
If you are studying botany, then you are studying biology.

What conclusion can you draw using the Law of Syllogism?

Disabled
A.
If you are studying biology, then you are studying botany.

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B.
If you are studying botany, then you are studying a science.

Student Selected Incorrect
C.
If you are studying science, then you are studying botany.

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D.
If you are studying science, then you are studying biology.
Correct answer: D. If you are studying science, then you are studying biology.

Using the Law of Syllogism, we can combine the two statements to conclude that if you are studying botany, which is a branch of biology, and studying biology involves studying a science, then studying science involves studying biology. This leads to the conclusion that if you are studying science, then you are studying biology.
Use the Law of Detachment and the Law of Syllogism to draw a conclusion from the following true statements.

If I miss soccer practice, then I will not start in the next game.
If I get sick, then I will miss soccer practice.

I get a sore throat.

A.
I get sick.

B.
I will miss soccer practice.

C.
I get a sore throat.

D.
I will not start in the next game.
Using the Law of Detachment, we can conclude from the second statement that if you get sick, you will miss soccer practice. Since you got a sore throat, it indicates that you are sick. Therefore, the conclusion is:

B. I will miss soccer practice.

This conclusion was derived using the Law of Detachment.