
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
For the sets \( A \) and \( B \), define the operation: \( A - B = \{ x \mid x \in A \text{, and } x \notin B \} \), and \( A * B = (A - B) \cup (B - A) \). Let \( X = \{1, 3, 5, 7\} \) and \( Y = \{ x \mid x < 4 \text{, and } x \in \mathbf{Z} \} \). Find \( X * Y \).

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