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Question 433431: Check the converse and contrapositive implification:-
a) If it is hot, then I take a drink.
b) If today is Monday, then tomorrow is tuesday.
Answer by Edwin McCravy(20054)   (Show Source):
You can put this solution on YOUR website! Give the converse and contrapositive implication:-
a) If it is hot, then I take a drink.
b) If today is Monday, then tomorrow is tuesday.
Here is the rule:
Original statement: If p, then q
Converse of original statement: If q, then p
Inverse of original statement: If not p, then not q
Contrapositive of original statement: If not q, then not p
a) If it is hot, then I take a drink.
p = "It is hot", q = "I take a drink".
Original statement: If it is hot, then I take a drink.
Converse of original statement: If I take a drink, then it is hot.
Inverse of original statement: If it is not hot, then I do not take
a drink.
Contrapositive of original statement: If I do not take a drink, then it is
not hot.
b) If today is Monday, then tomorrow is Tuesday.
p = "Today is Monday", q = Tomorrow is Tuesday.
Original statement: If today is Monday, then tomorrow is
Tuesday.
Converse of original statement: If tommorrow is Tuesday, then today
is Monday.
Inverse of original statement: If today is not Monday, then tomorrow
is not Tuesday.
Contrapositive of original statement: If tomorrow is not Tuesday, then today
is not Monday.
Edwin
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