Question

if the statement “If i am hungry, then I am not happy” is assumed to be true, is its inverse, “ If i am not hungry, thrn i must be happy,” also always true?

Answer 1

yes because "If i'm hungry, then I'm not happy" but "if I'm not hungry, then I'm happy"
Being hungry is bad, so I'm not happy
BUT
being not hungry is good, so I'm happy

Answer 2

Yes because they mean the same thing.

Hope this helps.