
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
The range of values for $a$ that makes the system of inequalities \\( \begin{cases} (x-2)(x-5)\leqslant 0 \\\\ x(x-a)\geqslant 0\\end{cases}\\) have the same solution as the inequality $(x-2)(x-5)\leqslant 0$ is \_\_\_\_\_\_.

Present the answer in LaTex format: \boxed{Your answer}
user