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Mathematical Reasoning
easy
If $p \Rightarrow (q \vee r)$ 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
$T, T, F$
Solution
(a) $p \Rightarrow q$ is false only when $p$ is true and $q$ is false.
$p \Rightarrow q$ is false when $p$ is true and $q \vee r$ is false, and $q \vee r$ is false when both $q$ and $r$ are false.
Hence truth values of $p, q$ and $r$ are respectively $T, F, F.$
Standard 11
Mathematics
