Define Predicates as follows: • H(x,y) = "x does homework with y" • L(x, y) = "x attends 203 lectures with y" • D(x, y) = "x attends 203 discussions with y" The domain for all variables is students enrolled in EECS 203 at the University of Michigan. Translate the following English expressions into quantifiers, logical connectives, and predicates. (a) All students who do homework together but don't attend discussions together go to the same lecture. (b) There exists a student who does not attend lectures or discussions with someone in their homework group. a (c) Every student has one homework group member who either attends a different discussion or a different lecture.