Convert the english sentences into propositional logic. in parts (), convert the propositions into english. in part (f), let p(a) represent the proposition that a is prime. (a) there is one and only one real solution to the equation x2 = 0. 3xvy((r2 = 0) a (v2 = 0) ==y=x (b) between any two distinct rational numbers, there is another rational number. (3x € eye (iz € (x2vx 1) == (32.b € n) ((a+b = 2x) p(a)ap(b))] if a natural number x is greater than 1, then there exist 2 natural numbers which are prime and the sum of those 2 numbers is equal to twice of x.