Law of Detachment/Syllogism

Given: If I drive over the speed limit, then I will get a ticket.

Given: I drove over the speed limit.

Conclusion: I got a ticket.

• Law of Detachment

• Law of Syllogism

• Invalid

Given: If Amanda goes to the restaurant, then she will order a hamburger.

Given: If she orders a hamburger, then she will get fries.

Conclusion: If Amanda goes to the restaurant, then she will get fries.

• Law of Detachment

• Law of Syllogism

• Invalid

Given: If it snows, then I will wear my snow boots.

Given: If it snows, then I won’t go to school that day.

Conclusion: If I don’t go to school, then I will wear my snow boots.

• Law of Detachment

• Law of Syllogism

• Invalid

Given: If Tina goes to the beach, she will wear sunscreen.

Given: Tina goes to the beach.

Conclusion: Tina will wear sunscreen.

• Law of Detachment

• Law of Syllogism

• Invalid

Given: If you get a cold, then you eat chicken soup.

Given: You ate chicken soup.

Conclusion: You must have a cold.

• Law of Detachment

• Law of Syllogism

• Invalid

Given: If two angles form a linear pair, then they are supplementary.

Given: If two angles are supplementary, then the sum of their measures is 180°.

Conclusion: If two angles form a linear pair, then the sum of their measures is 180°.

• Law of Detachment

• Law of Syllogism

• Invalid

Given: If Kaylee gets at least a 95 on her final exam, she will get an A in Geometry.

Given: Kaylee got a 98 on her final exam.

Conclusion: Kaylee got an A in Geometry.

• Law of Detachment

• Law of Syllogism

• Invalid

Given: If it is raining, then you must bring an umbrella.

Given: You bring your umbrella.

Conclusion: It is raining.

• Law of Detachment

• Law of Syllogism

• Invalid