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Question

Mathematics Question on Statements

The contrapositive statement of the proposition pqp\to \sim q is

A

pq\sim p \to q

B

qp\sim q \to p

C

qpq\to \sim p

D

NoneoftheseNone\, of\, these

Answer

qpq\to \sim p

Explanation

Solution

The given conditional statement is, p ~qp\to \tilde{\ }q
The contrapositive of this statement is,
 ~( ~qp)= ~( ~q) ~p\tilde{\ }(\tilde{\ }q\to p)=\tilde{\ }(\tilde{\ }q)\to \tilde{\ }p =q ~p=q\to \tilde{\ }p