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- Help me answer: Consider the following two statements :P : If 7 is an odd number, then 7 is divisible by 2.Q : If 7 is a prime number, then 7 is an odd number.If V1 is the truth value of the contrapositive of P and V2 is the truth value of contraposi
Consider the following two statements :
P : If 7 is an odd number, then 7 is divisible by 2.
Q : If 7 is a prime number, then 7 is an odd number.
If V1 is the truth value of the contrapositive of P and V2 is the truth value of contrapositive of Q, then the ordered pair (V1, V2) equals :
- Option 1)
(T, T)
- Option 2)
(T, F)
- Option 3)
(F, T)
- Option 4)
(F, F)
Answers (1)
As we learnt in
Implications -
Implications are "if-then" "only if" and "if and only if"
-
contrapositive of
If 7 is not divisible by 2, then it is not an odd number
It is False.
contrapositive of
If is not an odd number, then 7 is not a prime number
It is true.
Hence
Option 1)
(T, T)
Incorrect
Option 2)
(T, F)
Incorrect
Option 3)
(F, T)
Correct
Option 4)
(F, F)
Incorrect
View full answer
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