Consider the following table and predicate statements: Course Number Number of Students Number of assignments (EECS) 203 700 11 (MATH) 115 900 22 (PHYS) 140 600 14 S(x, y) = x has more students than y. A(x,y) = x has more assignments than y. N(x,y) = x has a higher course number than y. R(x) = x has less than 800 students. The domain is the three classes listed in the table. Translate the following statements to english and determine their truth values. Explain your reasoning (a) A(EECS203, PHYS140) N(EECS203, PHYS140) (b) (VxR(x)) V [Vx=y(S(y, x) V A(y,x))] (c) Vvy[(A(x, y) ^ S(x, y)) + N(y,x)]