Truth Tables and Logic

Original Statement: 
      If I am hungry then I will eat a whole pizza.
New Statement:
     If I am not hungry then I will eat a whole pizza.

• Converse
• Inverse
• Contrapositive
• None of the above

Which statement is the converse of the given statement?
If you make an insurance claim, then your rates will go up.

• If your insurance rates do not go up , then you have not maid a claim.
• If you do not make an insurance claim, then your rates will not go up.
• If your insurance rates go up, then you have made an insurance claim.
• If you make an insurance claim, then your rates will not go up.

For the inverse we _________ the hypothesis and conclusion

• switch
• negate
• switch and negate

Tags

CCSS.HSF.BF.B.4

For the contrapositive we _________ the hypothesis and conclusion

• switch
• negate
• switch and negate

This symbol, ∧, means?

• and
• or 
• not 
• implies

Tags

CCSS.HSS.CP.A.1

This symbol, ∨, means?

• and
• or
• not
• implies

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.B.7

This symbol, ↔, means?

• and
• or 
• if and only if
• implies

Tags

CCSS.HSS.CP.A.1

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

Let V represent Vehicles. Let M represent motorized vehicles, and let A represent automobiles.
Which is not a valid conclusion?

• Not all motorized vehicles are automobiles.
• Not all automobiles are motorized vehicles
• Some motorized vehicles are not automobiles.
• Automobiles are motorized vehicles.

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. 

Tags

CCSS.HSS.CP.A.1