Define the following propositions: s: a person is a senior y: a person is at least 17 years of age p: a person is allowed to park in the school parking lot Express each of the following English sentences with a logical expression: (a) A person is allowed to park in the school parking lot only if they are a senior and at least seventeen years of age. Solution ^ p→ (s^y) (b) A person can park in the school parking lot if they are a senior or at least seventeen years of age. Solution ^ (svy) → p (c) Being 17 years of age is a necessary condition for being able to park in the school parking lot. Solution ^ py (d) A person can park in the school parking lot if and only if the person is a senior and at least 17 years of age. Solution ^ p(sɅy) (e) Being able to park in the school parking lot implies that the person is either a senior or at least 17 years old. Solution ^ p(sVy)