
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
Given \\(p: x^2 \leqslant 5x - 4\\), \\(q: x^2 - (a + 2)x + 2a \leqslant 0\\)

\\((1)\\) If \\(\neg p\\) is true, find the range of values for \\(x\\).

\\((2)\\) If \\(p\\) is a necessary but not sufficient condition for \\(q\\), find the range of values for \\(a\\).

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