Logic: If P then Q permutations Quiz

What is converse of if P then Q

• if Q then P

• If not P then not Q

• If not Q then not P

• If not Q then P

How would you write the Contrapositive of if p then q?

• if ~ p then ~ q

• if ~ p then ~ q

  If ~ q then ~ p

• If ~ q then ~ p.

• If ~ q then p

• If q then ~ p.

p→q
What is the inverse?

• q→p
• ∼p→∼q
• ∼q→∼p
• p→∼q

This symbol, ∧, means?

• and
• or 
• not 
• implies

This symbol, ∨, means?

• and
• or
• not
• implies

When taking the converse we ___________ the hypothesis and conculsion

• negate
• switch
• highlight
• switch and negate

When taking the inverse we _____________ the hypothesis and conculsion

• negate
• switch
• switch and negate
• keep the same

p→q
What is the contrapositive?

• q→p
• ∼p→∼q
• ∼q→∼p
• p→∼q

p→q
What is the converse?

• q→p
• ∼p→∼q
• ∼q→∼p
• p→∼q

What is the inverse?
If Jason does not go out to dinner, then he will come to the volleyball game.

• If Jason goes out to dinner, then he will not come to the volleyball game.
• If Jason comes to the volleyball game, then he will not go out to dinner.
• If Jason comes to the volleyball game, then he will go out to dinner.
• If Jason does not go out to dinner, then he will not come to the volleyball game.