
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=(m,3m-4)\\) and \\(b=(1,2)\\), and any vector \\(c\\) in the plane can be uniquely represented as \\(c=λa+μb\\) (where \\(λ,μ\\) are real numbers), find the range of values for \\(m\\.

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