
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 function f(x) = |x - a|
1. If the solution set of f(x) ≤ m is [-1, 5], find the values of the real number a and m.
2. Solve the inequality f(x) + t ≥ f(x + 2) for x when a = 2 and 0 ≤ t < 2.

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