
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 and q as follows:
- Proposition p: The function $y=\log_a(2 - ax)$ is decreasing on the interval $[0, 1]$.
- Proposition q: The range of the function $y=\log( ax^2 - x + \frac {a}{12})$ (where $\log$ denotes the logarithm base 10) is $\mathbb{R}$.
If the compound statement "p AND q" is false and "p OR q" is true, determine the range of values for the real number $a$.

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