Determine the truth value of each statement. The domain of discourse is R. Justify your answer.  a). ∀x (x2 +1 > x) b). ∀x (x > 1 → x / x2 + 1 < 1/3)

Find the union, intersection, or difference of the given intervals. Express your answer three ways: 1) as inequalities, 2) as intervals, and 3) as graphs on the real number line. (3,10]∪[4,12]  [−3,9]∩(4,9)  (−10,∞)∪[−12,5)  [2,13)−[0,4]  [−10,10]−(2,6)