The symbolic representation of “If a man is not rich then he is not happy” is

Question

p : A man is happy q : The man is rich.

The symbolic representation of “If a man is not rich then he is not happy” is

(A) ~ p → ~ q 

(B) ~ q → ~ p 

(C) p → q 

(D) p → ~ q

Answer 1

Correct option: (B) ~ q → ~ p

Man is not rich : ~ q

Man is not happy : ~ p

∴ The symbolic representation of the given statement is ~ q → ~ p.