Propositions & Truth Values

What type of logic is this table showing:

• AND

• OR

• NOR

• IF, THEN

Use the logic condition to find the value of X:

A and not B

• True

• False

Use the logic condition to find the value of X:

Not A or B

• True

• False

Use the logic condition to find the value of Y:

A or B or C

• True

• False

Use the logic condition to find the value of X:

A or (B and C)

• True

• False

Use the logic condition to find the value of W:

not A or B or C

• True

• False

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

For the contrapositive we _________ the hypothesis and conclusion

• switch
• negate
• switch and negate