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natima [27]
3 years ago
9

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

Mathematics
1 answer:
Anna [14]3 years ago
6 0
Let p, and q be 2 statements. Consider the conditional p⇒q (that is, if p then q).

<span>i)   The converse of the statement is q</span>⇒p.
<span>
ii).  The inverse of the statement is </span>¬p⇒¬q.
<span>
iii).  The contrapositive of the statement is </span>¬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.
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