 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2019/iii/paper-149/3/b/solution

U, V, W \subseteq C

satisfy

U \neq = {0}

and

W \neq = {0}

, then

∣ U + V ∣ ∣ U W ∣ \geq \frac{1}{56} ∣ U ∣^{3/2} ∣ V ∣^{1/2} ∣ W ∣^{1/2} .

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