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The statement (~p ^^ q) vv ~ q is equiva...

The statement `(~p ^^ q) vv ~ q` is equivalent

A

`p vv q`

B

`p ^^ q`

C

`~(pvvq)`

D

`~(p ^^ q)`

Text Solution

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The correct Answer is:
D
`(~p ^^ q)vv~q-=~qvv(~p ^^ q)`
`-=~q vv (q ^^ ~ p)`
`-=(~q vv q) ^^ (~q vv ~ p)`
`-=~(q ^^ p)-=~(p ^^ q)`
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