1. Use ,, and to express the following declarative sentences in propositional logic. In each case, state what your propositional atoms p,q, etc. mean. (a) If Dick met Jane yesterday, they had a cup of coffee together, or they took a walk in the park. (b) It will rain whether or not you bring an umbrella. (c) If two is prime then I'm a monkey's uncle. (d) You will get wet unless you bring an umbrella. (e) You may have soup or melon as a starter. (f) In case of emergency, pull handle. (g) No shirt, no shoes, no service. (h) My sister wants a black and white coat