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Question

Mathematics Question on mathematical reasoning

The contrapositive of the inverse of pqp \to \sim q is

A

qp\sim q \to p

B

pqp \to q

C

qp\sim q \to \sim p

D

pq\sim p \to \sim q

Answer

qp\sim q \to p

Explanation

Solution

Inverse of pqp \rightarrow \sim q is pq\sim p \rightarrow q
The contrapositive of pq\sim p \rightarrow q is qp\sim q \rightarrow p
[[\because contrapositive of pqp \rightarrow q is qp]\sim q \rightarrow \sim p]