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If p to (qvvr) is false, then the truth ...

If `p to (qvvr)` is false, then the truth values of p,q and r are repspectively,

A

T, T, F

B

T, F, F

C

F, F, F

D

F, T, T

Text Solution

Verified by Experts

The correct Answer is:
B
Given statement `p rArr (q vee r)` is false.
` because p to (q vee r)=(~ p) vee (q vee r)`
Now, by trial and error method, if truth value of p is T, q is F and r is F,
then truth value of `(q vee r) ` is F.
So, truth value of `[(~p) vee (q vee r)]` is false.
Thus, if truth value of p, q, r are T, F, F, then the statement `p to (q vee r)` is false.
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