Determine the set of values for xxx that satisfy the inequality log0.5(x2−3x+2)>−1\log_{0.5}(x^2 - 3x + 2) > -1log0.5(x2−3x+2)>−1.
x∈(0,3)x \in (0, 3)x∈(0,3)
x∈(−∞,1)∪(2,∞)x \in (-\infty, 1) \cup (2, \infty)x∈(−∞,1)∪(2,∞)
x∈(−1,1)∪(2,4)x \in (-1, 1) \cup (2, 4)x∈(−1,1)∪(2,4)
x∈(1,2)x \in (1, 2)x∈(1,2)