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If you include decimals,. then there isn't any 'greatest'. Whatever number you choose,

no matter how near it is to 8,500 , I can always fit another, larger one in between

your number and 8,500 .

But if you limit the discussion to only whole numbers, then the answer is 8,499 .

By the way ... If you're looking for "... the greatest possible number that is ... less than 8,500 ...",

then it makes no difference what it's greater than. We don't need the "8,000" at all.

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Q: What is the greatest possible number that is greater than 8000 but less than 8500?
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