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, then I must b

Question

bogdanovich [222]

3 years ago

8

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, then I must b

e happy," also always true?

Mathematics

2 answers:

elena55 [62] · Answer 1 · 2022-02-21T02:49:17+03:00

elena55 [62]3 years ago

8 0

No -- other factors will influence whether your happy or not. Saying that is true is inductive reasoning, which is prone to error

andre [41] · Answer 2 · 2022-02-21T04:05:34+03:00

Answer:

Not always true

Step-by-step explanation:

The statement given is

"If I am hungry, then I am not happy"

Hungry is the cause and not happy is the result.

But hungry need not be only cause for not happy. There may be other causes such as not having money, or time, or death of some relative, or any other ailment, etc.

Hence the converse need not be true always.

So "If I am not hungry, then I must be happy,"

can be true provided all other needs are satisfied

Hence need not always be true