
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 M={x|-2≤x≤5} and N={x|a+1≤x≤2a-1}.
(1) If a=3, find M∪(∁<sub>R</sub>N).
(2) If N⊆M, find the range of values for the real number a.

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