For which values of xxx does the inequality x2−1x2+2x−3>0\frac{x^2 - 1}{x^2 + 2x - 3} > 0x2+2x−3x2−1>0 hold?
x>1x > 1x>1
x<−3x < -3x<−3 or x>1x > 1x>1
x∈(−3,1)x \in (-3, 1)x∈(−3,1)
x∈(−∞,−3)∪(−3,−1)∪(1,∞)x \in (-\infty, -3) \cup (-3, -1) \cup (1, \infty)x∈(−∞,−3)∪(−3,−1)∪(1,∞)