2. (25 points) Determine the truth value for each of the following statements where x and y are integers. State why it is true or false. a. Vxy x+y is odd. a. 3x3y x+y is odd. 3. (25 points) Translate the following into symbolic for and test the validity of the argument. (hint: use truth table) If I drive to work, then I will arrive tired. I drive to work .. I will arrive tired. (25 points) Let n be an integer. Prove that is even if and only if n is even. (hint: to prove that p q is true, you may instead prove sipq and t:q> pare true.) Answer the following questions in the spaces provideu. 1. (25 points) Make a truth table for the statement (p Vq) Ar. 2. (25 points) Determine the truth value for each of the following statements where x and y are integers. State why it is true or false. a. Vxy x+y is odd. a. 3x3y x+y is odd. 3. (25 points) Translate the following into symbolic for and test the validity of the argument. (hint: use truth table) If I drive to work, then I will arrive tired. I drive to work .. I will arrive tired. (25 points) Let n be an integer. Prove that is even if and only if n is even. (hint: to prove that p q is true, you may instead prove sipq and t:q> pare true.) Answer the following questions in the spaces provideu. 1. (25 points) Make a truth table for the statement (p Vq) Ar