Directions: Type your solutions into this document and be sure to show all steps for arriving at your solution. Just giving a final number may not receive full credit. PROBLEM 1 (a) The domain for all variables in the expressions below is the set of real numbers. Determine whether each statement is true or false. (i) VzSy (+ y > 0) (ii) Sr Vy (x.y > 0) (b) Translate each of the following English statements into logical expressions. (i) There are two numbers whose ratio is less than 1. (i) The reciprocal of every positive number is also positive