An integer that is negative and greater than $-3$ would be $-2$ or $-1$.

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Here are 5 related questions you might find interesting:

1. What are all the negative integers less than $-1$?
2. How many negative integers are there between $-5$ and $0$?
3. What is the absolute value of $-2$?
4. What are the properties of negative integers?
5. How do negative integers behave in multiplication?

Tip: The absolute value of a negative integer is always positive.