5-2. Solve the inequality

$$
\sqrt{6 x-13}-\sqrt{3 x^{2}-13 x+13} \geqslant 3 x^{2}-19 x+26
$$

In your answer, specify the sum of all integer values of $x$ that satisfy the inequality.
Solution. The inequality is satisfied only by the following integer values: $x=3, x=4$.

Answer: (D) 7.

Answer choices.

$$
\begin{array}{|l|l|l|l|l|l|l|l|l|}
\hline \mathbf{A} & 2 & \mathbf{B} & 3 & \mathbf{C} & 5 & \mathbf{D} & 7 & \mathbf{E} \\
\hline
\end{array}
$$