## Task A-1.3. (8 points)

Determine the largest integer $n$ for which the inequality $3\left(n-\frac{5}{3}\right)-2(4 n+1)>6 n+5$ holds.
## Solution.

The inequality $3\left(n-\frac{5}{3}\right)-2(4 n+1)>6 n+5$ is successively equivalent to

$$
\begin{gathered}
3 n-5-8 n-2>6 n+5 \\
-11 n>12 \\
n<-\frac{12}{11}
\end{gathered}
$$

The largest integer that satisfies this inequality is $n=-2$.

For 5 points: at least (*)

For 8 points: correct result and procedure.