Logic Review Warm Up

What is the converse of the statement “If an angle is acute, then it is not equal to 90°?

• If an angle is acute, then it is not equal to 90°.
• If an angle is not acute, then it is equal to 90°.
• If an angle is equal to 90°, then it is not acute.
• If an angle is not equal to 90°, then it is acute.

Given the statement “If you lose, then I win”, how is the statement “If I don’t win, then you don’t lose.” related to it?
   

• converse
• inverse
• contrapositive
• biconditional

Given the statement “If it barks like a dog, then it’s not a cat.”, how is the statement “If it does not bark like a dog, then it’s a cat.” related to it?  

• converse
• inverse
• contrapositive
• biconditional

What is the inverse of the statement ~p   → q?

• ~q  →  ~p
• q  → ~p
• p  →~q
• ~q  → p

What is the contrapositive of the statement
 ~q  → ~p?

• p→q
• ~q → ~p
• p → ~q
• ~q →p

What is the converse of the
 statement ~q  →p?

• ~q → ~p
• q →~p
• p →~q
• p →q

• 6
• 11
• 44
• 60

• biconditional
• converse
• inverse
• contrapositive

Is the given statement true:
If the chair is empty, then class is not in session.

• True.  Class can't happen if a chair isn't occupied.
• False.  Someone could be absent.
• True. Nobody sits down so we don't do work.
• True.  There are no chairs here, so the hypothesis is true.

p→q
What is the contrapositive?

• q→p
• ∼p→∼q
• ∼q→∼p
• p→∼q