Answer
Simple statements are:
p: Falling in love with someone in your class.
q: Picking someone to hate.
r: Vent your emotions.
s: skip.
Symbolic form is
\[\left( p\vee q \right)\to \left( r\wedge \tilde{\ }s \right)\]
Work Step by Step
The given compound statement can be written in simple statements as \[p,\text{ }q,\text{ }r,\text{ and }s\]. Here, \[p,\text{ }q,\text{ }r,\text{ and }s\] represents three simple statements.
p: You fall in love with someone in your class.
q: You pick someone to hate.
r: You show up to vent your emotions.
s: You skip.
Use the representation to re-write the statement as:
p or q are sufficient conditions for r and not s.
‘Sufficient conditions’ is represented by the symbol ‘\[\to \]’, ‘And’ is represented by the symbol ‘\[\wedge \]’, ‘Not’ is represented by the symbol ‘\[\sim \]’, and ‘Or’ is represented by the symbol ‘\[\vee \]’.
Use the symbols to write the compound statement in symbolic form as:
\[\left( p\vee q \right)\to \left( r\wedge \tilde{\ }s \right)\]