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Mathematical Reasoning
medium
If $p$ and $q$ are simple propositions, then $p \Leftrightarrow \sim \,q$ is true when
A
$p$ is true and $q$ is true
B
Both $p$ and $q$ are false
C
$p$ is false and $q$ is true
D
None of these
Solution
(c) is true iff $p, \sim \,q$ are both true or both false.
[ $q$ true $⇒ \sim q$ false $\therefore \,p \sim \,q$ are both false]
Standard 11
Mathematics
