
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 the sets $M=\{1,-2,3\}$ and $N=\{-4,5,6,-7\}$, determine the number of different points that can be represented in the third and fourth quadrants of the Cartesian coordinate system when one number is selected from each set.

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