\[\boxed{\text{847.\ }\text{еуроки}\text{-}\text{ответы}\text{\ }\text{на}\text{\ }\text{пятёрку}}\]
\[a > 0\]
\[\frac{a + 2}{a} - 2 \geq 2 - \frac{a + 2}{2}\]
\[\frac{2 - a}{a} \geq \frac{2 - a}{2}\]
\[\frac{2 - a}{a} - \frac{2 - a}{2} \geq 0\]
\[\frac{2 \cdot (2 - a) - a(2 - a)}{2a} \geq 0\]
\[\frac{(2 - a)(2 - a)}{2a} \geq 0\]
\[\frac{(2 - a)^{2}}{2a} \geq 0\]
\[верно,\ так\ как\ (2 - a)^{2} > 0\ \ \ и\ \ \]
\[\ 2a > 0.\]