
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 $\odot$ is defined as follows: $x \odot y = \frac{x}{2-y}$. If the solution set of the inequality $(x-a) \odot (x+1-a) > 0$ in terms of $x$ is a subset of the set $\{x|-2 \leq x \leq 2, x \in \mathbb{R}\}$, determine the range of values for the real number $a$.

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