
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 propositions $p: c^2 < c$ and $q$: for all $x \in \mathbb{R}, x^2 + 4cx + 1 < 0$, and $p \vee q$ is true while $p \wedge q$ is false, find the range of values for the real number $c$.

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