Let A={x∈R:x2−4x+3<0}A = \{x \in \mathbb{R} : x^2 - 4x + 3 < 0\}A={x∈R:x2−4x+3<0} and B={x∈R:∣x−2∣<2}B = \{x \in \mathbb{R} : |x-2| < 2\}B={x∈R:∣x−2∣<2}. What is A∩BA \cap BA∩B?
(0,4)(0, 4)(0,4)
(1,3)(1, 3)(1,3)
(0,3)(0, 3)(0,3)
(1,4)(1, 4)(1,4)