
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
Define the operation G(x,y) as follows: G(x,y) = {x-y (when x ≥ y) \\ y-x (when x < y). If there are exactly 3 integer solutions for the system of inequalities with respect to the positive number x: G(x,1) > 4 and G(-1,x) ≤ m. Determine the range of values for m.

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