
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
Solve the following system of inequalities over the set of integer pairs:

$$
11 > 2a - b, \quad 25 > 2b - a, \quad 42 < 3b - a, \quad \text{and} \quad 46 < 2a + b.
$$

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