asked 12.2k views
2 votes
If the statement "If I am hungry, then I am not happy" is assumed to be true, is its converse, "If I am not happy, then I must be hungry," also always true?

asked
User Skyfish
by
7.4k points

2 Answers

4 votes
Not necessarily you can be happy but that doesn't always mean you are hungry just like you can be hungry and be happy as well.
answered
User Stephen Walsh
by
8.8k points
2 votes

Answer: Not always true

Step-by-step explanation: This statement is an example of converse, that is, if the assumption is true as in this case, "If I'm hungry, then I am not happy," then the hypothesis drawn out as a conclusion can be accurate but also false. In this case, the first sentence is the initial statement, the one that gives the condition on the basis of which we draw the final conclusion, the hypothesis, i.e. the second sentence of this example "If I'm not happy, then I must be hungry". Our final conclusion, hypothesis, can be correct, since if someone is hungry, then he is not happy, but he can also be false, because feeling that someone is unhappy can be caused by for any other reason. Therefore, it does not necessarily mean that if someone is unhappy then he is necessarily hungry.

answered
User Dency G B
by
7.4k points
Welcome to Qamnty — a place to ask, share, and grow together. Join our community and get real answers from real people.