Докажите неравенство: y^2+1>=2*(5y-12)

\[\ y² + 1 \geq 2 \cdot (5y - 12)\]

\[y^{2} + 1 \geq 10y - 24\]

\[y^{2} - 10y + 25 \geq 0\]

\[(y - 5)^{2} \geq 0 \Longrightarrow ч.т.д.\]

\[x < y\]

\[\ 8x < 8y\]