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The logical statement [~(~pvvq)vv(p^^r)]...

The logical statement `[~(~pvvq)vv(p^^r)]^^(~q^^r)` is equivalent to (a) `(~p^^~q)^^r` (b) `~p vv r` (c) `(p^^r)^^~q` (d) `(p^^~q)vvr`

A

r

B

q

C

`p ^^ q`

D

p

Text Solution

Verified by Experts

The correct Answer is:
B
We have, `(p ^^ q) ^^ [~ r vv (p ^^ q)] vv (~ p ^^ q)`
`-=(p ^^ q) vv (~ p ^^ q)`
`-=(p vv ~p) ^^ q -= T ^^ q=q`
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