Each of the following English sentences includes one or more implicit quantifications. Convert them to quantified predicates that mean the same as the original sentence, using the domain (s) given. (a) The sum of two integers is an integer. Domain: Numbers. (b) Books can open new worlds. Domain: Books. For the English statement below, first convert the statement to logic, then use Generalized De Morgan’s Laws to move the negation as far inside the expression as possible, and finally express the result as a conversational English sentence that also keeps the negation ‘inside.’ Your result should mean the same as the original, but cannot have the same wording. Not all fish are green.