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Write the negative of the compound propo...

Write the negative of the compound proposition `p vv(~pvvq)`

A

`(p^^~q)vv(~p)`

B

`(p^^~q)^^(-p)`

C

`(-p^^-q)^^(q)`

D

`(-p^^~q)^^(p)`

Text Solution

Verified by Experts

The correct Answer is:
A
`~(pvv(~pvvq))=(~p)^^(~pvvq)`
`=(~p)^^(^^~q)`
`=(p^^~q)^^(~p)`
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