Determine the set of all real numbers xxx that satisfy the inequality x3−4xx2−3x+2≤0\frac{x^3 - 4x}{x^2 - 3x + 2} \leq 0x2−3x+2x3−4x≤0.
x∈(−∞,−2]∪[0,1)∪(1,2)x \in (-\infty, -2] \cup [0, 1) \cup (1, 2)x∈(−∞,−2]∪[0,1)∪(1,2)
x∈(−∞,−2]∪[0,2)∖{1}x \in (-\infty, -2] \cup [0, 2) \setminus \{1\}x∈(−∞,−2]∪[0,2)∖{1}
x∈(−∞,−2]∪[0,2]x \in (-\infty, -2] \cup [0, 2]x∈(−∞,−2]∪[0,2]
x∈(−2,0]∪(1,2)x \in (-2, 0] \cup (1, 2)x∈(−2,0]∪(1,2)