Find the set of all real numbers that satisfy .

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Problem

Find the set of all real numbers xx that satisfy arctan⁡(2x)>π4\arctan(2x) > \dfrac{\pi}{4}. (a) x>32x > \dfrac{\sqrt{3}}{2} (b) x>12x > \dfrac{1}{2} (c) x<12x < \dfrac{1}{2} (d) x>1x > 1

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