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STATEMENT-1 : [p^^(pvvq)]vv[q^^(qvvp)]=p...

STATEMENT-1 : `[p^^(pvvq)]vv[q^^(qvvp)]=pvvq`
and
STATEMENT-2 : `p^^(qvvr)=(p^^q)vv(p^^r)`

A

Statement-1 is True, Statement-2 is True, Statement-2 is a correct explanation for Statement-1

B

Statement-1 is True, Statement-2 is True, Statement-2 is NOT a correct explanation for Statement-1

C

Statement-1 is True, Statement-2 is False

D

Statement-1 is False, Statement-2 is True

Text Solution

Verified by Experts

The correct Answer is:
A
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If p, q, r be anY three. statements STATEMENT-1 : pvv(q^^r)hArr(pvvq)^^(pvvr) and STATEMENT-2 : pvv(q^^r)=(pvvq)^^(pvvr)

STATEMENT-1 : (p^^~q)^^(~p^^q) and STATEMENT-2 : (pvv~q) vv (~p ^^q)

((pvvq)^^~p) to q

~(pvvq)vv(~p^^q) is equivalent to

(p ^^ q) vv (~q ^^ p) -=

(p^^~q) ^^ (~pvvq) is

Simplify (p vv q) ^^ (p vv ~q) .