
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 g(x) = x^2^ - (m - 1)x + m - 7.

1. Find the range of real number m if the function g(x) is monotonic on [2, 4].
2. Find the range of real number m if the graph of the function y = g(x) is always above the graph of y = 2x - 9 on the interval [-1, 1].

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