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Question: If \(p \Rightarrow (q \vee r)\) is false, then the truth values of *p*, *q*, *r* are respectively...

If p(qr)p \Rightarrow (q \vee r) is false, then the truth values of p, q, r are respectively

A

T, F, F

B

F, F, F

C

F, T, T

D

T, T, F

Answer

T, F, F

Explanation

Solution

pqp \Rightarrow q is false only when p is true and q is false.

pqp \Rightarrow q is false when p is true and qrq \vee r is false, and qrq \vee r is false when both q and r are false.

Hence truth values of p, q and r are respectively T, F, F.