
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
Let $a \in \mathbb{R}$, and define the sets $A = \mathbb{R}$, $B = \{x \in \mathbb{R} | (a-2)x^2 + 2(a-2)x - 3 < 0\}$.

(1) If $a = 3$, find the set $B$ (expressed as an interval);
(2) If $A = B$, find the range of values for the real number $a$.

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