
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 set A={x| $$\frac {x+1}{x-3}$$≤0}, B={x|x<sup>2</sup>\-（m-1）x+m-2≤0}.
(1) If A∪[a,b]=[-1,4], find the conditions that real numbers a and b must satisfy;
(2) If A∪B=A, find the range of real number m.

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