QuestionLet $p$: I work hard, $q$: I get a promotion. Write "My hard work is necessary and sufficient for a promotion" symbolically.

Studdy Solution
The biconditional operator is represented as $\leftrightarrow$. So, the compound statement "My hard work is necessary and sufficient for me to get a promotion" can be written as $p \leftrightarrow q$.
This means that " work hard if and only if I get a promotion", which is the logical equivalent of the original statement.
The compound statement written in symbolic form is $p \leftrightarrow q$.