Question

1. For the given true statements, what can you conclude using the Law of Syllogism?

If you play the flute, then you are a musician.
If you are a musician, then practicing will help you improve.
1 - If you are a musician, then you play the flute.
If practicing will help you improve, then you play the flute.
If practicing will help you improve, then you are a musician.
If you play the Flute, then practicing will help you improve. ​

Answer 1

The conclusion reached using the Law of Syllogism is 'If you play the flute, then practicing will help you improve,' combining the two given true conditionals into a chain of reasoning.

Step-by-step explanation:

Using the Law of Syllogism, we can conclude that 'If you play the flute, then practicing will help you improve'. The Law of Syllogism allows us to combine two conditional statements when the conclusion of one is the hypothesis of the other. In this case, the two given true statements are:

1. If you play the flute, then you are a musician.
2. If you are a musician, then practicing will help you improve.

By the Law of Syllogism, these can be combined to form a new conditional statement: If you play the flute, then practicing will help you improve. This forms a chain of reasoning showing that being a flute player is sufficient to imply that practicing will be beneficial for improvement.