Use the statements and truth table to determine which statements are equivalent.

p: It is a bagel.
q: It has cream cheese on it.


p q ~p ~q p → q ~q → ~p q → p
T T F F T T T
T F F T F F T
F T T F T T F
F F T T T T T
If it has cream cheese on it, then it is a bagel.
If it is a bagel, then it has cream cheese on it.
If it has cream cheese on it, then it is a bagel.
It is a bagel, and it has cream cheese on it.
If it is a bagel, then it does not have cream cheese on it.
It is a bagel, or it has cream cheese on it.
If it is a bagel, then it has cream cheese on it.
If it does not have cream cheese on it, then it is not a b