Consider the following two statements :P : If | vedclass

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Question

(B) The contrapositive of a conditional statement $p \Rightarrow q$ is $
eg q \Rightarrow 
eg p.$ The truth value of a contrapositive is the same as

Vedclass · Accepted Answer

$(F, T)$

Vedclass · Answer

(B) The contrapositive of a conditional statement $p \Rightarrow q$ is $
eg q \Rightarrow 
eg p.$ The truth value of a contrapositive is the same as the truth value of the original statement.For statement $P: p \Rightarrow q$ where $p$ is '$7$ is an odd number' (True) and $q$ is '$7$ is divisible by $2$' (False).Since $T \Rightarrow F$ is $F,$ the truth value $V_1 = F.$For statement $Q: p \Rightarrow q$ where $p$ is '$7$ is a prime number' (True) and $q$ is '$7$ is an odd number' (True).Since $T \Rightarrow T$ is $T,$ the truth value $V_2 = T.$Thus,the ordered pair $(V_1, V_2) = (F, T).$

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