We study how the presence of middle class in sense Gevorgyan-Malykhin affects value income inequality measures including Gini coefficient J and Hoover index H. It is proved that (1) $J \leqslant \frac{1}{2}\frac{{L'\left( 0 \right)}}{2}$ (where L Lorenz function), (2) $H \frac{1}{2}$, (3) longest vertical distance between diagonal curve (which equal to H) attained at ${z_0} < \frac{3}{4}$ A ...