Let the sets AAA and BBB be defined as A={x∈R:x−1x−3<0}A = \{x \in \mathbb{R} : \frac{x-1}{x-3} < 0\}A={x∈R:x−3x−1<0} and B={x∈R:x2−5x+6≤0}B = \{x \in \mathbb{R} : x^2 - 5x + 6 \le 0\}B={x∈R:x2−5x+6≤0}. Determine the set difference A∖BA \setminus BA∖B.
(1,2)(1, 2)(1,2)
(1,2](1, 2](1,2]
[2,3)[2, 3)[2,3)
(1,3)(1, 3)(1,3)