2.
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 did not get enough sleep on Tuesday night.
You only got three hours of sleep on Tuesday night.
You cannot pay attention in school on Wednesday.
You are tired on Wednesday.
7 answers
Conclusion: You cannot pay attention in school on Wednesday because you did not get enough sleep on Tuesday night.
3.
Does the following argument illustrate the Law of Detachment?
Given: If the power has been cut, then the refrigerator does not work.
The refrigerator does not work.
Conclude: The power has been cut.
no
yes
Does the following argument illustrate the Law of Detachment?
Given: If the power has been cut, then the refrigerator does not work.
The refrigerator does not work.
Conclude: The power has been cut.
no
yes
No, the argument does not illustrate the Law of Detachment. The Law of Detachment states that if a conditional statement is given, and the hypothesis is true, then the conclusion can be drawn. In this case, the given information does not state that the power being cut is the only reason the refrigerator could not work, so the conclusion cannot be confidently drawn based on the information provided.
4.
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.
If practicing will help you improve, then you are a musician.
If practicing will help you improve, then you play the flute.
If you play the flute, then practicing will help you improve.
If you are a musician, then you play the flute.
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.
If practicing will help you improve, then you are a musician.
If practicing will help you improve, then you play the flute.
If you play the flute, then practicing will help you improve.
If you are a musician, then you play the flute.
Using the Law of Syllogism, we can conclude the following:
If you play the flute, then practicing will help you improve.
If you play the flute, then practicing will help you improve.
5.
Using the Law of Syllogism, what conclusion can you draw from the following two statements?
If two angles are right angles, then they have the same measure.
If two angles have the same measure, then they are congruent.
If two angles have the same measure, then they are congruent.
If two angles are right angles, then they have the same measure.
If two angles have the same measure, then they are right angles.
If two angles are right angles, then they are congruent.
Using the Law of Syllogism, what conclusion can you draw from the following two statements?
If two angles are right angles, then they have the same measure.
If two angles have the same measure, then they are congruent.
If two angles have the same measure, then they are congruent.
If two angles are right angles, then they have the same measure.
If two angles have the same measure, then they are right angles.
If two angles are right angles, then they are congruent.
Using the Law of Syllogism, we can conclude:
If two angles are right angles, then they are congruent.
If two angles are right angles, then they are congruent.