Answer:
Negation = Pn ¬q
Contrapositive = ¬q = ¬p
Converse = q=p
Inverse = ¬p = ¬q
Explanation:
If today is new year's, then tomorrow is January.
Let P = If today is new year's eve
q = tomorrow is January
Negation of q = ¬q
The statement is represented as P=q
Negation ; today is new year's eve (p), then tomorrow is not January (¬q)
Negation = Pn ¬q
Contrapositive ; If tomorrow is not January (¬q), then today is not new year's eve(¬p)
¬q = ¬p
Converse ; If tomorrow is January, then today is new year's eve i.e if q then p
= q=p
Inverse ; if today is not new year's eve, then tomorrow is not January
if not p, then not q ; ¬p = ¬q
