Question

the set of solution of the inequality

Answer 1

Final Answer : D :(3, inf)

Q : The set of all solutions of the inequality
${( \frac{1}{2}) }^{ {x}^{2} - 2x } < \frac{1}{4} \\ = > {2}^{2x - {x}^{2} } < {2}^{ - 2} \\ = > 2x - {x}^{2} < - 2\\ = > {x}^{2} - 2x - 2 > 0 \\ = > x < 1 - \sqrt{3} \: or \: \\ x > 1 + \sqrt{3}$

2) This set only satisfies : (3,inf)