1. The problem asks to write the symbolic form of the statement: "If it’s your bday or there will be cake, then there will be cake." 2. Let $p$ represent "it’s your bday" and $q$ represent "there will be cake". 3. The statement "if ... then ..." corresponds to a conditional statement symbolized as $\rightarrow$. 4. The phrase "it’s your bday or there will be cake" is a disjunction symbolized as $p \lor q$. 5. Therefore, the symbolic form of the statement is: $$ (p \lor q) \rightarrow q $$ This means: If $p$ or $q$ is true, then $q$ is true.