1. **State the problem:** We have two propositions: - $p$: I complete my homework. - $q$: I can play video games. We want to express the following compound propositions in words: a) $p \to q$ b) $(p \lor q) \land \neg q$ 2. **Express a) $p \to q$ in words:** The implication $p \to q$ means "If $p$ then $q$." In words, this is: "If I complete my homework, then I can play video games." 3. **Express b) $(p \lor q) \land \neg q$ in words:** - $p \lor q$ means "$p$ or $q$ (or both)." - $\neg q$ means "not $q$" or "I cannot play video games." So $(p \lor q) \land \neg q$ means: "Either I complete my homework or I can play video games, and I cannot play video games." Since $q$ is false, the "or" statement reduces to $p$ being true (because $q$ is false but the whole disjunction must be true). So in simpler words: "I complete my homework and I cannot play video games."