Inequalities

Let $\Sigma$ be a Polish space and $M_1(\Sigma)$ be the space of probability measures in $\Sigma$. Prove that\left\lVert\nu-\mu\right\rVert_{var}^2\leq 2\textbf{H}(\nu|\mu), \ \ \ \ \mu,\nu\in\textbf{...

Distribution of Student's Grades ( 25 points) A student submits 7 assignments graded on the $0-100$ scale. We assume that each assignment is an independent sample of his/her knowledge of the material...

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I tried to solve this inequality. Apparently my answer was not correct. My teacher wanted me to revise it. x<\frac{6}{x-1}