
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 that Four times $A$'s money added to $B$'s money is less than $$60.00$ and six times $A$'s money minus $B$'s money is $$30.00$, let $a$ represent $A$'s money in dollars and $b$ represent $B$'s money in dollars, determine the relationship between $a$ and $b$.

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