
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 $\max (a; c)$ denote the minimum of the numbers $a$ and $c$. Construct the graph of the function $y = \max \left(x - 11; x^2 - 8x + 7\right)$ and use it to solve the inequality $\max \left(x - 11; x^2 - 8x + 7\right) < 0$.

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