The statement pattern (~p ^^ q) is logic...

The statement pattern `(~p ^^ q)` is logically equivalent to

A

`(p vvq)vv~p`

B

`(p vv q)^^~p`

C

`(p ^^ q)to p`

D

`(p vv q)to p`

Text Solution

Verified by Experts

The correct Answer is:

B

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Knowledge Check

The statement pattern p^^(~p^^q) is

A

a tautology

B

a contradiction

C

equivalent to `p^^q`

D

equivalent to `pvvq`

p to q is logically equivalent to

A

`p ^^ ~ q`

B

` ~ p to ~ q`

C

` ( p vv ~ q)`

D

none of these

The statement (p ^^ ~q) is logically equivalent to-

A

p

B

`~p`

C

q

D

`~q`

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