Question

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

p: It is a cake.
q: It has frosting 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 frosting on it, then it is a cake.
If it is a cake, then it has frosting on it.
If it is a cake, then it has frosting on it.
If it does not have frosting on it, then it is not a cake.
If it has frosting on it, then it is a cake.
It is a cake, and it has frosting on it.
If it is a cake, then it does not have frosting on it.
It is a cake, or it has frosting on it.

Answer 1

@somnium I think its B but I'm not sure..

Answer 2

its hard to read it right, can u screenshot this one?

Answer 3

yeah gimme a moment-

Answer 4

yes i believe b is correct, because p being a cake, and q being it has frosting, then b would satisfy both of them, if im correct

Answer 5

Thank you ^^