all beggars are poor.
a) if a is a beggar, then a is not rich.
b) if a is not rich, then a is not a beggar.
c) all those who are poor are beggars.
d) if a is rich, then a is not a beggar.

Respuesta :

Answer:

A and D

Step-by-step explanation:

A is logical because the definition of "poor" is "not rich", so this is essentially the same as the given statement. (if p, then q)

B is not logical because it directly contradicts the given statement. (if p, then not q)

C is logical, but not necessarily true because not enough information is given to know what portion of poor people are beggars. (if q, then p)

D is logical because it is the contrapositive of the given statement. Intuitively, it should also make sense that if someone is rich, then they aren't poor. (if not q, then not p)