Question 1195834
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@greenestamps has the right idea, but is missing (2,3) and (3,2) as solutions.


Verification using Desmos
<img src = "https://i.imgur.com/3onh8mA.png">
Link to the interactive graph
<a href = "https://www.desmos.com/calculator/jkunovtp9z">https://www.desmos.com/calculator/jkunovtp9z</a>


All of the points marked are inside all three circles simultaneously; hence they satisfy the three original inequalities.
Replace x with 'a', and replace y with 'b'.


Answer: 6 ordered pairs
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