
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
Given two lines pass through the points (0, 5) and (10, 2), and (2, 6) and (8, 1) respectively, and intersect at some point, find the area of the region that lies above the x-axis and between these two lines from x = 0 to their intersection point.

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