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