Question

If p then q means _________ implies __________

(a) q => p

(b) ~q => ~p

(c) ~p => ~q

(d) p => ~q

This question was posed to me in quiz.

The above asked question is from Mathematical Reasoning in section Mathematical Reasoning of Mathematics – Class 11

Answer 1

The correct option is (b) ~q => ~p

For explanation: If p then q means p => q or negation of q implies negation of p  i.e. ~q => ~p.