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Question

Mathematics Question on validating statements

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

pqrp \Rightarrow q \vee r is false when pp is true and qrq \vee r is false, and qrq \vee r is false when both qq and rr are false.
Hence truth values of p,q,rp, q, r are respectively T, F, F