
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
Some students in the class watch football, and some watch cartoons, but there are no students who do not watch either. The average math grade for cartoon watchers is less than 4, and the average math grade for football watchers is also less than 4. Can the average math grade for the entire class be greater than 4?

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