Question

ASAP PLEASE!!! Start with the following conditional statement: If it is October 31, then it is Halloween.

Answer 1

Let p, and q be 2 statements. Consider the conditional p⇒q (that is, if p then q).

i)   The converse of the statement is q⇒p.

ii).  The inverse of the statement is ¬p⇒¬q.

iii).  The contrapositive of the statement is ¬q⇒¬p.


Let p: it is October 31, and let q: it is Halloween. 

The converse of the conditional p⇒q  is q⇒p:

                    If it is Halloween, then it is October 31. 

The inverse is ¬p⇒¬q:

                   If it is not October 31, then it is not Halloween.

The contrapositive ¬q⇒¬p is:

                   If it is not Halloween, then it is not October 31.