1.Determine whether each sentence is a statement. (a)Are you going to Manila this Sunday? (b)Vaccines for COVID-19 will be available before December 2020. 2.Determine the simple statements in each...

1.Determine whether each sentence is a statement. (a)Are you going to Manila this Sunday? (b)Vaccines for COVID-19 will be available before December 2020. 2.Determine the simple statements in each compound statement. (a)If today is Monday, then tomorrow is Sunday. (b)Daniel will study the lessons and he will not wash his clothes. 3.Write the negation of each statement. (a)The game was shown on ABS-Kapuso TV network. (b)Today is a rainy day. (c)The dinner does not contain dessert. B. 1.Write each symbolic statement as an English sentence. Use p, q, r, s, and t as defined below. p: Sarah Geronimo is a singer. q: Sarah Geronimo not a songwriter. r: Sarah Geronimo is an actress. s: Sarah Geronimo plays the piano. t: Sarah Geronimo does not play the guitar. (a)(p ∧ q) ∨ r (b)∼ p → (p ∨ r) (c) (p ∨ s) → (q ∧ t) (d) (r ∧ p) ↔ q (e) t ↔ (∼ r∧ ∼ p) 2.Write each sentence in symbolic form. Use p, q, r and s as defined below. p: Paul is a table tennis player. q: Paul is a basketball player. r: Paul is a rock star. s: Paul is a mechanical engineer. (a)Paul is a table tennis player or a basketball player, and he is not an engineer. (b)If it is not true that Paul is a table tennis player or a rock star, then Paul is a mechanical engineer. (c)Either Paul is a basketball player and a rock star, or he is a table tennis player. (d)Paul is a basketball player, if and only if he is not a football player and he is not a rock star. (e)If Paul is a mechanical engineer, then he is a basketball player and he is not a table tennis player.