Please solve all questions if possible, thanks.

CPS 341 HOMEWORK 2 Due at class time, in class, Tuesday, 6 February, 2018 Partial credit is possible only if you do your work in steps. (1) Let the domain be all the human beings. Consider the following predi cates: D(x) is a Democratic senator R(x) is a Republican senator A(x) is a male E(): r is a female H(x) is rich L(x, y): is more popular than y (12 pts) Using the predicates given, appropriate quantifiers, and logical connectives, write each given English language statement as a predicate wff (a) Trump is more popular than Republican senators b) Democratic senators are rich (c) Republican senators that are not rich are more popular than Democratic senators (2) (8 pts) The predicates used here are as defined in the previous problem Translate each of the following into an equivalent sentence in English Note: Your English sentences must not involve any variables (such as (a) Vx : (R(z) ^ (xMcCain)) L(Trump, x) (b) 3x : D(z) ^ (Vy : R(y) L(z, y))