Let A={x∈R:x2−5x+6<0}A = \{x \in \mathbb{R} : x^2 - 5x + 6 < 0\}A={x∈R:x2−5x+6<0} and B={x∈R:∣x−2∣<1}B = \{x \in \mathbb{R} : |x-2| < 1\}B={x∈R:∣x−2∣<1}. What is A∩BA \cap BA∩B?
(2,3)(2, 3)(2,3)
(1,3)(1, 3)(1,3)
(1,2)(1, 2)(1,2)