
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 the solution set A of the inequality $x^2 \leq 5x - 4$, and the solution set M of the inequality $x^2 - (a+2)x + 2a \leq 0$ ($a \in \mathbb{R}$) with respect to $x$,

(1) Find the set A;
(2) If $M \subseteq A$, find the range of the real number $a$.

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