2. Solve the inequality:

$$
\sqrt{x+\sqrt{x+\sqrt{x+\sqrt{x-4}}}} \geq \sqrt{4+\sqrt{6}}
$$
# Solution:

The left side increases and at $\boldsymbol{x}=4$ it is exactly equal to the right side.

## Answer: $\mathbf{x} \geq 4$.

| Points | Criteria for evaluating the completion of task № 2 |
| :---: | :--- |
| $\mathbf{6}$ | A correct and justified sequence of all steps of the solution is provided. The correct answer is obtained. |
| $\mathbf{3}$ | The problem is not solved, but its solution is significantly advanced, i.e.:  - a significant part of the solution is performed correctly, possibly inaccurately (for example, the increase of the function on the left side of the inequality is established);  - another part is either not performed or performed incorrectly, possibly even with logical errors (for example, the solution to the inequality is not found).  The solution may be incomplete. |
| $\mathbf{0}$ | All cases of the solution that do not meet the above criteria for scoring 3 and 6 points. |