Deductive Reasoning

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

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

p→q
q→r
∴p→r
Which law is modeled?

• Law of Syllogism
• Law of Detachment
• Law of Contrapositive
• Law of Shannon

p→q
p
∴q
Which law is modeled?

• Law of Syllogism
• Law of Detachment
• Law of Contrapositive
• Law of Shannon

If an angle is 40⁰, then it is acute.
∠A is 40⁰.
Using the Law of Detachment, what is the logical statement to conclude?

• ∠A is complementary to ∠B
• ∠A is acute.
• ∠A is obtuse.
• ∠A is 40⁰

Use Law of Syllogism to make a conclusion.
 If a number is divisible by 10, then it is divisible by 2.  If a number is divisible by 2, then it is even.

• If a number is divisible by 10, then it is even,
• If a number is even, then it is divisible by 10.
• If a number is divisible by 2, then it is even.
• If a number is even, then it is divisible by 2.

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.

By the Law of Detachment, what can you conclude from the statement? 
If two planes intersect, then their intersection is a line.
Planes S and T intersect.

• their intersection is a line
• their intersection is a point
• no conclusion can be made
• the planes are parallel

Which of the following statements is valid based on the given scenario?
If Jason plays basketball, then Steve sits on the bench.  
If Steve sits on the bench, then Ronald starts at center.  

• If Steve sits on the bench then Jason plays basketball.
• If Ronald starts at center then Jason plays basketball.
• If Steve sits the bench then Ronald does not start at center.
• If Jason plays basketball then Ronald starts at center.

Tags

CCSS.HSS.CP.A.1

All bears are mammals, all mammals have kidneys; therefore all bears have kidneys. 

• Deductive
• Inductive

Snakes are reptiles and reptiles are cold blooded; therefore, snakes are cold blooded. 

• Deductive
• Inductive 

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.7.1

CCSS.RL.8.1

CCSS.RL.9-10.1