Let p, a and r represent the following simple statements:p: I work hard. q: The chair is broken r: The stove is hot

p: I work hard.
q: The chair is broken
r: The stove is hot
The compound statement is:
If I work hard or the chair is not broken, then the stove is hot
∼q: The chair is not broken
The symbol for OR is ∨
The if-then statement is represented using the symbol →
Therefore, the symbolic form of the statement "If I work hard or the chair is not broken, then the stove is hot" is:
[tex]p\text{ }\lor\text{ }\sim q\text{ }\rightarrow r[/tex]