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