4. Let I(x) be the predicate x is interesting." Let L(x.y) be the predicate "x is less than y". Let the universe to be the set of integers. For each of the following statements: (i) write it in first-order logici) show the negation in first-order logic: your negations should be to the right of the quantifiers, and (ii) write the negation in english. (a) Zero is less than all integers. (b) If any integer is interesting, then zero is interesting. (c) There is no integer such that all integers are less than it (d) Each integer is less than some integer and not less than some integer. (e) If no integer is interesting, then there is no integer such that all integers are less than it