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Which of the following is True?...

Which of the following is True?

A

`p rArr q -= ~ p rArr ~q`

B

`~(p rArr ~q)-= ~p ^^q`

C

`~(~p rArr ~q) -= ~ p ^^ q`

D

`~(~p iff q)-=(~(p rArr q)^^ ~ (q rArr p))`

Text Solution

Verified by Experts

The correct Answer is:
C
`because ~ (p rArr q)-= p ^^ ~ q`
`~(~p rArr ~q)-= ~ p ^^ ~(~ q) -= ~ p ^^ q`
Thus, `~(~p rArr ~q) -= ~p ^^ q`
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