
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
A random variable \(\xi\) is uniformly distributed on the interval \([0 ; 6]\). Find the probability that the inequality \(x^{2}+ (2 \xi + 1)x + 3 - \xi \leq 0\) holds for all \(x \in [-2 ;-1]\).

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