The set of all integers greater than $-6$ can be represented as follows:

$\{ -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, \ldots \}$

This set includes every integer starting from $-5$ and continues indefinitely in the positive direction.

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Here are some related questions:

1. What is the set of all integers less than 10?
2. What is the set of all integers greater than or equal to 0?
3. What is the smallest integer greater than $-6$?
4. How do we represent the set of all positive integers?
5. What are the integers between $-10$ and $5$?

Tip: When describing sets of integers, inequalities and interval notation are useful tools for concise representation.