Detachment and Syllogism (T/F)

IF I brush my teeth, then I won't get cavities. Given: I brush my teeth. Conclusion: I won't get cavities.

• True

• False

Answer explanation

LAW OF DETACHMENT

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

IF it rains, then I will use my umbrella. IF it rains, then I will wear my rain boots. Conclusion: IF I use my umbrella, then I will wear my rain boots.

• TRUE

• FALSE

Answer explanation

INVALID

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

IF Ainsley goes to a Mexican restaurant, then she will order queso. IF she orders queso, then she will eat two baskets of chips. Conclusion: IF Ainsley goes to a Mexican restaurant, then she will eat two baskets of chips.

• TRUE

• FALSE

Answer explanation

LAW OF SYLLOGISM

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

IF Grady watches Football, then he will cheer for the home team. Given: Grady watches Football. Conclusion: Grady cheers for the home team.

• TRUE

• FALSE

Answer explanation

LAW OF DETACHMENT

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

IF I read a book, Then I gain more knowledge. IF I gain more knowledge, Then I share it with my friends. Conclusion: IF I read a book, then I share knowledge with my friends.

• TRUE

• FALSE

Answer explanation

LAW OF SYLLOGISM

Tags

CCSS.RI.8.1

CCSS.RL.8.1

CCSS.RL.9-10.1

CCSS.RI.8.8

CCSS.RL.11-12.1

IF I go to my grandma's house, then I will eat chocolate chip cookies. Given: I ate chocolate chip cookies. Conclusion: I went to my grandma's house.

• TRUE

• FALSE

Answer explanation

INVALID

Tags

CCSS.RI.8.1

CCSS.RL.8.1

CCSS.RL.9-10.1

CCSS.RI.8.8

CCSS.RL.7.1

IF we win all our soccer games, then we will get a trophy. Given: We win all our soccer games. Conclusion: We will get a trophy.

• TRUE

• FALSE

Answer explanation

LAW OF DETACHMENT

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

IF Jake has Allstate Insurance, then he will avoid disaster. IF Jake avoids disaster, then his insurance is discounted. Conclusion: IF Jake's insurance is discounted, then he has Allstate.

• TRUE

• FALSE

Answer explanation

INVALID

IF a whole number is divisible by 12, then it is divisible by 6. IF a whole number is divisible by 6, then it is divisible by 2 and 3. Conclusion: IF a whole number is divisible by 12, then it is divisible by 2 and 3.

• TRUE

• FALSE

Answer explanation

LAW OF SYLLOGISM

IF each angle in a triangle is less than 90°, then it is an acute triangle. Given: Each angle in a triangle is less than 90°. Conclusion: The triangle is an acute triangle.

• TRUE

• FALSE

Answer explanation

LAW OF DETACHMENT

Tags

CCSS.4.G.A.2