Solve for xxx in the inequality x+2x−1≥x−3x+4\frac{x+2}{x-1} \geq \frac{x-3}{x+4}x−1x+2≥x+4x−3.
x∈(−4,−1]∪(1,∞)x \in (-4, -1] \cup (1, \infty)x∈(−4,−1]∪(1,∞)
x∈(−∞,−4)∪[−1,1)x \in (-\infty, -4) \cup [-1, 1)x∈(−∞,−4)∪[−1,1)
x∈[−1,1)∪(1,∞)x \in [-1, 1) \cup (1, \infty)x∈[−1,1)∪(1,∞)
x∈(−4,1)x \in (-4, 1)x∈(−4,1)