Consider the following two statements : P : If 7 is an odd number, then 7 is divisible by …

Question

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 :

Accepted Answer

Contrapositive of P : If 7 is not divisible by 2,
then 7 is not an odd number.

This statement is false.

$$ \therefore $$    V1 = False (F)

Contrapositive of Q : If 7 is not an odd number
,then 7 is not a prime number.

This statement is true.

$$ \therefore $$   V2 = True (T)

$$ \therefore $$   (V1, V2) = (F, T).

Solutions · 1