Discrete Mathematics

8. Let p and q be the propositions p : I bought a lottery ticket this week. q : I won the million dollar jackpot. Express each of these propositions as an English sentence. a) p | b) pq c) pq d) pq e) pq f) pq g) pq h) p(pq) 10. Let p and q be the propositions "The election is decided" and "The votes have been counted," respectively. Express each of these compound propositions as an English sentence. a) p b) pq c) pq d) qp e) qp f) pq g) pq h) q(pq)