
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 two vectors in the Cartesian coordinate system, $a = (1, 2)$ and $b = (m, 3m - 2)$, and any vector $c$ in the plane can be uniquely represented as $c = \lambda a + \mu b$ ($\lambda, \mu$ are real numbers), determine the range of values for $m$.

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