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If the inverse of implication p to q i...

If the inverse of implication ` p to q ` is defined as ` ~ p to ~q` , then the inverse of the proposition ` ( p ^^ ~ q) to r ` is

A

`~r to (~pvvq)`

B

`r to (p^^~q)`

C

`~qvv(p^^r)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Inverse of `p to q` is `~p to ~q`
Therefore, inverse of `(p^^~q) to r` is
`~(p^^~q) to ~r`
`-=~(p^^(~(~(p^^r))`
`-=~q^^(p^^r)`
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