
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
Sets $X$ and $Y$, represented in a Venn diagram, have a total of 5000 elements in their union. The total number of elements in set $X$ is three times the total number of elements in set $Y$. The intersection of $X$ and $Y$ has 1500 elements. Determine the total number of elements in set $X$.

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