Review Activity: Validity

Let p represent: Brent works this summer.
Let q represent: Brent takes a vacation.
What is the symbolic representation of this statement?
Therefore, Brent does not work this summer.

• ∴~p
• ∴~q
• ~p
• ~q

Tags

CCSS.HSS.CP.A.1

Given, "If I have a Siberian Husky, then I have a dog." Identify the inverse.

• If I do not have a Siberian Husky, then I do not have a dog.
• If I have a dog, then I have a Siberian Husky.
• If I do not have a dog, then I do not have a Siberian Husky.
• If I do not have a Siberian Husky, then I have a dog. 

Given, "If angles are congruent, then the measures of the angles are equal." Identify the contrapositive.

• If the measures of the angles are equal, then the angles are congruent.
• If angles are not congruent, then the measures of the angles are not equal.
• If the measures of the angles are not equal, then the angles are not congruent.
• If the angles are not congruent, then the measure of the angles are equal.

Tags

CCSS.8.G.A.2

What is the converse of the following statement?
If it is Saturday, then the school is closed

• If the school is closed, then it is Saturday.
• If it is not Saturday, then the school is not closed.
• If the school is not closed, then it is not Saturday.

Tags

CCSS.HSS.CP.A.3

Using the Law of Detachment, what can you conclude?
If you earn more than $14, then you can buy a new CD.
You earn $15.

• you can buy a new CD
• you cannot buy a new CD
• no conclusion can be made
• you earn more than $14

Tags

CCSS.HSA.CED.A.3

CCSS.HSA.SSE.A.1

p→q
p
∴q
Which law is modeled?

• Law of Syllogism
• Law of Detachment
• Law of Contrapositive
• Law of Shannon

p→q
q→r
∴p→r
Which law is modeled?

• Law of Syllogism
• Law of Detachment
• Law of Contrapositive
• Law of Shannon

Which of the following is a biconditional statement?

• If you do not vote, then you are not at least 18 years old.
• You can vote if and only if you are 18 years old.
• If you are 18 years old, then you can vote.

For the contrapositive we _________ the hypothesis and conclusion

• switch
• negate
• switch and negate

For the inverse we _________ the hypothesis and conclusion

• switch
• negate
• switch and negate

Tags

CCSS.HSF.BF.B.4