
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
In the set of real numbers $\mathbb{R}$, an operation "$\otimes$" is defined as follows: $x \otimes y = x(1-y)$. If the inequality $(x - a) \otimes (x + a) < 1$ holds for any real number $x$, find the range of values for the real number $a$.

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