Law of Detachment

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 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.
• not possible

If possible, use the Law of Detachment to draw a conclusion from the two given statements. If not possible, write not possible.
Statement 1: If x = 2, then 2x – 10 = –6.
Statement 2: x = 2 

• 2x – 10 = –6 
• x = 2
•  If 2x – 10 = –6, then x = 2
• not possible 

If a student wants to go to university, then the student must study hard and write a good application. Zach wants to go to Caltech.

• Zach must study hard and write a good application.

• No Conclusion can be made.

• Zach will not study but will write a good application.

• Zach got accepted to Caltech.

If there is lightening, then it is not safe to be out in the open. Mary sees lightening from her home.

• It is not safe for the lightening

• No conclusion can be made.

• It is not safe for Marty to be out in the open.

• There is lightening.

Tags

CCSS.RI.11-12.2

CCSS.RI.8.1

CCSS.RI.9-10.1

CCSS.RL.11-12.1

CCSS.RL.9-10.1

If we see John on Monday, then we can ask him over for lunch. We see John on Monday.

• John may eat with us.

• John saw us on Monday

• No conclusion can be made since the hypothesis did not occur.

• We asked John to have lunch with us.

Tags

CCSS.HSS.CP.A.3

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 year 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

Tags

CCSS.HSA.SSE.A.1

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

Draw a conclusion from the statement.
If Jack goes to school, then it is Monday.
Jack doesn't go to school.

• Jack skipped school.
• It isn't Monday.
• It's Saturday.
• Invalid

Tags

CCSS.RI.11-12.2

CCSS.RI.8.1

CCSS.RI.9-10.1

CCSS.RL.11-12.1

CCSS.RL.9-10.1