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~ ( p vv q) vv ( ~ p ^^ q) is logically...

` ~ ( p vv q) vv ( ~ p ^^ q) `is logically equivalent to

A

`~ p `

B

`p `

C

`q `

D

`~ q`

Text Solution

Verified by Experts

The correct Answer is:
A
we have,
` ~ ( p vv q) vv ( ~ p ^^ q) cong ( ~ p ^^ ~ q) vv ( ~ p ^^ q) `
` cong p ^^ ( ~ p ^^ q)`
` cong ~ p ^^ ( ~ q vv q)`
` cong p ^^ t` , where t is a tauology ,
`cong ~ p `
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