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The following statement (p to q) to [(~p...

The following statement `(p to q) to [(~p to q) to q]` is

A

a fallacy

B

a tautology

C

equivalent to `~p toq `

D

equivalent to `p to ~q`

Text Solution

Verified by Experts

The correct Answer is:
B
`(p to q) to {(~p to q) to q}`
`=(p to q) to {(p vvq) to q}`
`=( p to q) to {(~p to ~q) vvq}`
`=(p to q) to {(~p vvq) ^^(~qvvq)}`
`=(p to q) to (~p vvq)`
`=( pto q) to (p to q) `
=T
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