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The contrapositive of (pvvq) to r is...

The contrapositive of `(pvvq) to r` is

A

`r to (pvvq)`

B

`~r to (pvvq)`

C

`~r to (~ p ^^~q)`

D

`p to (qvvr)`

Text Solution

Verified by Experts

The correct Answer is:
C

`p to q` is false only when p is true and q is false
Therefore, `p to q` is `~ q to ~p`
Therefore, contrapositive of `(pvvq) to r` is
`~r to ~(pvvq)`
`-=~ rto (~p^^~q)`
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