Law of Detachment

Determine whether the stated conclusion is valid.
Given: If an animal is a dog, then they like biscuits.
Sammy is a dog.
Conclusion: Sammy likes biscuits.

• Invalid
• Valid
• Sammy is a Great Dane
• Sammy is really a cat.

Tags

CCSS.HSS.CP.A.5

Draw a conclusion from the statement.
If you live in Orlando, then you live in Florida.
You live in Orlando.

• You live in Disney Land
• You are an old person.
• You live in Florida
• You live in Orlando

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

Draw a conclusion from the statement.

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

You can rent a car

• You are at least 25 years old

• You can rent a car

• You can go on a road trip

• Invalid

Use the Law of Detachment to draw a conclusion from the two given statements. If not possible, write no conclusion.

Statement 1: If I study for one hour each day, then I will score well on the exam

Statement 2: I will score well on the exam

• I study for 1 hour each day.

• I do not study for 1 hour each day

• If I do well on the exam, I studied for 1 hour each day.

• no conclusion

Draw a conclusion from the statement.
If you go fishing, then you will need to bring your fishing rod.
You go fishing.

• You will need to bring your fishing rod.
• Invalid
• You are a boring person.
• You are going to catch a fish.

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

Use the Law of Detachment to draw a conclusion from the two given statements. If not possible, write not possible.

Statement 1: If I study for one hour, then I will do well on the exam

Statement 2: I will study from 6pm to 7pm tonight.

• I study for several hours each day.

• I will do well on the exam

• If I do well on the exam, I studied for hours.

• not possible

Draw a conclusion from the statement.

If you live in Houston, then you live in Texas.

You live in Houston.

• You live in Dallas

• You are an old person.

• You live in Texas

• You live in Houston