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Set Theorymedium
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Let the sets AAA and BBB be defined as A={x∈R:∣x−2∣<3}A = \{x \in \mathbb{R} : |x - 2| < 3\}A={x∈R:∣x−2∣<3} and B={x∈R:∣x−4∣≥2}B = \{x \in \mathbb{R} : |x - 4| \ge 2\}B={x∈R:∣x−4∣≥2}. Determine the intersection A∩BA \cap BA∩B.