Logical Conclusions

If I miss my bus, then I’ll be late for school.

I miss my bus.

• No valid conclusion possible

• Yes, using the Law of Detachment

• Yes, using the Law of Syllogism

If this wind keeps up, then we will lose some trees.

We lose some trees.

• No valid conclusion possible

• Yes, using the Law of Detachment

• Yes, using the Law of Syllogism

If a quadrilateral is a square, then it has four congruent sides.

Quadrilateral ABCD has four congruent sides.

• No valid conclusion possible

• Yes, using the Law of Detachment

• Yes, using the Law of Syllogism

Which of the following is the inverse to the statement: 
"If you diet and exercise, then you will lose weight."

• If you don't diet and exercise, then you will not lose weight.
• If you don't diet and exercise, then you will lose weight.
• If you lose weight, then you dieted and exercised.
• If you don't lose weight, then you diet and exercise. 

If my favorite flavor of ice cream is chocolate, then I will get a scoop of it. If I get a scoop of chocolate ice cream, I will like it. If I like it, then I will be happy.

What answer demonstrates the correct use of the Law of Syllogism?

• If my favorite flavor of ice cream is chocolate, then I will be happy.

• If my favorite flavor of ice cream is not chocolate, then I will not be happy.

• If I am happy, then my favorite flavor is chocolate.

• If I get a scoop of chocolate ice cream, I will not like it.

What is a logical conclusion I could draw from these statements using a combination of Syllogism and Detachment?

It if is stormy, we might lose power. If we lost power, I will not be able to charge my phone.

It is stormy.

• I will not be able to charge my phone

• We might lose power.

• It is stormy.

• I will be able to charge my phone.

What is a logical conclusion I could draw from these statements using a combination of Syllogism and Detachment?

If I go on a walk, then I will see a dog. If I see a dog, then I will pet the dog. If I pet the dog, I will feel happy.

I go on a walk.

• I will feel happy.

• I will not pet the dog.

• I will not feel happy.

• I will see a dog.

What is a logical conclusion I could draw from these statements using a combination of Syllogism and Detachment?

If I binge watch Avatar the Last Airbender, I will want to watch Legend of Korra. If I have a Netflix account, then I can binge watch Avatar the Last Airbender.

I have a Netflix account.

• I cannot binge watch Avatar the Last Airbender

• I will want to watch Legend of Korra.

• I do not have a Netflix account.

• I will not want to watch Avatar the Last Airbender.

Given the conditional statement;

"If I am hungry, then I eat."

Which of the following is the inverse?

• If I eat, then I am hungry.

• If I don't eat then I am not hungry

• If I am not hungry, then I don't eat.

• If I am not hungry, then I eat.

Tags

CCSS.HSS.CP.A.3

Given the conditional;

"If it is a duck then it has a beak."

Which is the converse?

• If isn't not a duck, then it doesn't have a beak.

• If it is a duck, then it quacks.

• If it doesn't have a beak, then it's not a duck.

• If it has a beak, then it is a duck.