Pearson 1-6 Deductive/Inductive Reasoning

Using the statements:
If it is Friday, then I will get paid.
It is Friday.
What is the conclusion?

• It is not Friday
• It is Friday
• I will not get paid
• I will get paid

Using deductive reasoning, which of the following completes the statement to form a valid conclusion?
If it is snowing heavily, then school will be canceled.
If school is canceled, the big test will not be given today.
It is snowing heavily, then...

• Look out for the snowplows while driving to school.
• The big test will not be given today.
• The roads will be hard to drive on.
• You should call the school to see if school is canceled.

What conclusion can be drawn from the following statements?
If the stereo is on, then the volume is loud.  
If the volume of the stereo is loud, then the neighbors will complain.

• If the neighbors complain, then the stereo will be loud.
• If the stereo is on, then the neighbors will complain.
• If the stereo is volume is loud, then the stereo is on.
• If the stereo is on, then the volume is loud.

What conclusion can be drawn from the following statements?
If the sun is shining, then it is a beautiful day.  
If it is a beautiful day, then we will have a picnic.

• If the sun is shining, then it is a beautiful day.
• If it is a beautiful day, then the sun is shining.
• If the sun is shining, then we will go on a picnic.
• If we go on a picnic, then the sun is shining.

What conclusion can be drawn from the following statements? (THIS IS TRICKY!)

If Todd goes to the movies, then Sarah will go to the movies.

If Chris goes to the movies, then Todd will go to the movies.

• If Chris goes to the movies, then Sarah will go to the movies.

• If Todd goes to the movies, then Chris will go to the movies.

• If Sarah goes to the movies, then Chris will go to the movies.

• If Chris goes to the movies, then Todd will go to the movies.

Inductive Reasoning means...

• Guessing

• Testing and observing patterns to make conjectures

• Explaining why

• Law of Logic that states if a conditional statement and hypothesis are true, then its conclusion is also true.

Deductive reasoning means...

• Guessing

• Definition

• Testing and observing patterns to make conjectures

• Law of logic that states if a conditional statement and its hypothesis are true, then its conclusion is also true.

What can be concluded from the following statements?
If Tom goes fishing then he brings a pole.
If Tom brings his pole then he catches a fish.

• If Tom goes fishing then he catches a fish.
• If Tom brings his pole then he goes fishing
•  If Tom catches a fish then he brought his pole.
• If Tom brings his pole then he catches a fish.

Which statement is the converse of the given statement?

If you make an insurance claim, then your rates will go up.

• If your insurance rates do not go up , then you have not maid a claim.

• If you do not make an insurance claim, then your rates will not go up.

• If your insurance rates go up, then you have made an insurance claim.

• If you make an insurance claim, then your rates will not go up.

If a person is a senator, then he/she is at least 30 years old.

Joseph is 48 years old.

Make a conclusion.

• Joseph is a senator.

• Joseph is not a senator.

• No Conclusion