Logic Review

Use inductive reasoning to complete the following. If it is invalid, choose invalid:

"If I have a Siberian Husky, then I have a dog.

If I have a dog, then I need dog food.

__________________________________"

• If I have a Siberian Husky, then I need dog food

• If I do not have a Siberian Husky, then I do not need dog food

• If I have a dog, then I need dog food

• Invalid

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

Use Inductive Reasoning to complete the following statement. If it is invalid, choose invalid.

"If it is raining, then it is thundering.

If it is not thundering, then we cannot swim.

_____________________________________

• If it is raining, then we cannot swim

• If it is thundering, then it is not raining

• Invalid

• If we cannot swim, then it is raining

Tags

CCSS.HSS.CP.A.1

Using the Law of Syllogism, write a new conditional statement that follows from the pair of true statements.

If you study, then you will pass the test.

If you pass the test, then you will pass the class.

• If you study, then you will pass the class.

• If you pass the test, then you should study.

• If you pass the class, then you will pass the test.

• If you study, then you will pass the test.

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

Use the law of syllogism to draw a conclusion from the two given statements:

Statement 1: If you exercise regularly, then you have a healthy body

Statement 2: If you have a healthy body, then you have more energy

• You have more energy

• If you exercise regularly, then you have more energy

• You have a healthy body

• If you do not have a healthy body, then you do not exercise regularly

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

Draw a conclusion from the statements below:

If you are at least 25 year old, then you can rent a car.

If you are at least 25 years old, then you can get a credit card

• If you are at least 25 years old, then you can spend money

• If you can rent a car, then you can get a credit card

• Invalid

• Being 25 years old is awesome

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

p→q

q→r

∴p→r

Which law is modeled?

• Law of Syllogism

• Law of Detachment

• Law of Contrapositive

• Law of Myrtle

Using the Law of Detachment, draw a conclusion based on the statements given:

If a plane flies to China, then it will be a long flight.

Sarah bought a ticket to China.

• Sarah will get stuck in the security line.

• Sarah will have a long flight.

• Sarah will need to bring a neck pillow and headphones.

• Sarah will get stuck with a middle seat on the plane.

Using the law of contrapositive, write a new conditional statement given the following:

If the airport is crowded, then I will miss my flight.

Jeremiah did not miss his flight.

• The airport was not crowded.

• The airport was crowded.

• Security was crowded.

• I took another flight.

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

Which law of logic is being represented? If it is invalid, choose invalid

If you drive safely, then the life you save may be your own.

AJ drives safely.

The life AJ saves may be his own.

• Law of Detachment

• Law of Syllogism

• Law of Contrapositive

• Invalid

Complete the following statement using inductive reasoning:

If a figure is a square, then it is a polygon.

Figure A is a polygon.

_________________________

• Figure A is a polygon.

• Figure A is a circle.

• Figure A is a square.

• invalid

Tags

CCSS.2.G.A.1