Proposition r: If Febi sends a birthday greeting to Bintang, then Bintang will invite her to his birthday party. a. Write the proposition r using propositional variables and logical operators. b. Write the negation of the proposition r (as state in a). c. Write the negation of the proposition r in English. d. Bintang invites Febi. Conclusion: She sent a birthday greeting to him. Is the argument valid or invalid? Give your reason.

Let p, q, and r be the propositions p: It is hot. q: It is raining. r: We go to the beach. Match the English sentences with the compound propositions. > If it is not raining and it is hot, we go to the beach. If it is either hot or raining (or both), then we do not go to the beach. It is hot and raining, but we still go to the beach. If it is either hot or raining (but not both), then we go to the beach. We do not go to the beach only if it is not hot and not raining. We go to beach if and only if it is not raining and it is hot. 1. p^q^r 2. (pVq) →→ 3. (p^¬q) → r 4. (p^¬q) → r 5. (pq) →r 6. ¬→ (p^¬q)

Express the proposition, -q, in an English sentence, and determine whether it is true or false, where p and q are the following propositions. q: "69 is odd" p: "69 is prime" Express the proposition -q in an English sentence. O A. 69 is not odd. O B. 69 is not prime. O C. 69 is prime. O D. 69 is even. Determine whether the proposition, -q, is true or false. O True O False

please solve question A until D