1. **State the problem:** We are given the conditional statement: "The dog barks if it sees a stranger." We need to express its contrapositive, converse, and inverse. 2. **Identify the components:** Let: - $p$: The dog sees a stranger. - $q$: The dog barks. The original statement is: "If $p$, then $q$" or symbolically, $p \to q$. 3. **Converse:** The converse of $p \to q$ is $q \to p$. - "If the dog barks, then it sees a stranger." 4. **Inverse:** The inverse of $p \to q$ is $\neg p \to \neg q$. - "If the dog does not see a stranger, then it does not bark." 5. **Contrapositive:** The contrapositive of $p \to q$ is $\neg q \to \neg p$. - "If the dog does not bark, then it does not see a stranger." **Final answers:** - Converse: "If the dog barks, then it sees a stranger." - Inverse: "If the dog does not see a stranger, then it does not bark." - Contrapositive: "If the dog does not bark, then it does not see a stranger."