$p$ | $q$ | $ p $ | $ p \Rightarrow q$ | $ \sim p \wedge q$ | $ (p \Rightarrow q) \Leftrightarrow ( \sim p \wedge q)$ |
T | T | F | T | F | F |
T | F | F | F | F | T |
F | T | T | T | T | T |
F | F | T | T | F | F |
If
\( p \): It is raining today,
\( q \): I go to school,
\( r \): I shall meet my friends,
and \( s \): I shall go for a movie, then which of the following represents:
"If it does not rain or if I do not go to school, then I shall meet my friend and go for a movie?"
A statement is a sentence that is either true or false, but not both true and false simultaneously.
Since one of the given statements i.e. a is true, therefore, a or b is true.