Determine the range of xxx for which log0.5(x2−4)>−2\log_{0.5}(x^2 - 4) > -2log0.5(x2−4)>−2.
x∈(−22,−2)∪(2,22)x \in (-2\sqrt{2}, -2) \cup (2, 2\sqrt{2})x∈(−22,−2)∪(2,22)
x∈(−∞,−22)∪(22,∞)x \in (-\infty, -2\sqrt{2}) \cup (2\sqrt{2}, \infty)x∈(−∞,−22)∪(22,∞)
x∈(−2,2)x \in (-2, 2)x∈(−2,2)
x∈(−22,22)x \in (-2\sqrt{2}, 2\sqrt{2})x∈(−22,22)