Solve the following problems, showing any necessary work 1. consider the sentence "when i get up early and i wear maroon, i have a salad for lunch or i stay out late. a. 5 points] rewrite this sentence symbolically. use p for the proposition "i get up early", q for "i b. [5 points negate the formula you came up with in part (a), and translate it back into (reasonably c. [5 points) write the converse of the original sentence. is this sentence equivalent to the original d. [5 points) write the converse of the original sentence. is this sentence equivalent to the original wear maroon", r for "i have salad for lunch", and s for "i stay out late." good) english sentence? sentence? 2. [5 points] prove q, assuming that the following formulas are true. (give a line-by-line proof, like in class. you should only need three more steps.) (1) vp 2) (q-p)a (3) -p