Question
Question: If \(p \Rightarrow (q \vee r)\) is false, then the truth values of *p*, *q*, *r* are respectively...
If p⇒(q∨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
p⇒q is false only when p is true and q is false.
∴ p⇒q is false when p is true and q∨r is false, and q∨r is false when both q and r are false.
Hence truth values of p, q and r are respectively T, F, F.