For each of the English statements below, do the following: i. Define a possible Universe of Discourse, ii. Define one or more predicates and rewrite the English statement using symbolic notation, iii. Write the negation of the symbolic notation, simplifying when possible. iv. Rewrite the negation as an English statement. a) Some houses don't have electricity. b) None of the houses have plumbing. c) Some cabins have heat but do not have A/C. d) At least one cabin does not have heat and some cabins do not have A/C. e) For every x and y there exists a z such that x + y = z. f) For every x and y, x/y = y/x