
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
(6 points) Let the set $S = \{x | x < 1\}$, and the set $T = \{x | x \leq 2\}$. Then, $S \cap T = \quad$; $S \cup T = \quad$; $T \cap \complement_R S = \quad$. (Here, $R$ represents the set of real numbers.)

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