Determine the set of all real values xxx such that 1x−1≤2x2−1+1x+1\frac{1}{x-1} \leq \frac{2}{x^2-1} + \frac{1}{x+1}x−11≤x2−12+x+11.
x∈(−1,1)∪(1,∞)x \in (-1, 1) \cup (1, \infty)x∈(−1,1)∪(1,∞)
x∈(−1,1)∪(1,2]x \in (-1, 1) \cup (1, 2]x∈(−1,1)∪(1,2]
x∈(−∞,−1)∪(1,2]x \in (-\infty, -1) \cup (1, 2]x∈(−∞,−1)∪(1,2]
x∈(−1,2]x \in (-1, 2]x∈(−1,2]