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The negation of ~svv(~r^^s) is equivale...

The negation of `~svv(~r^^s) ` is equivalent to

A

`s wedge ~r`

B

`s wedge (r wedge ~s)`

C

`s wedge (r vee ~s)`

D

`s wedge r`

Text Solution

Verified by Experts

The correct Answer is:
D
`~ (~ s vee (~r wedge s ))-= ~ (~s) wedge ~ (~r wedge s)`
`-= s wedge (~(~r) vee ~s ) -= s wedge (r vee ~s)`
`-= (s wedge r) vee (s wedge ~s)`
`-= (s wedge r) vee F " " [ because s wedge ~s " is false"]`
`-= s wedge r`
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