1. Define the set A as the set of all integers x such that -3 is less than or equal to x, and x is less than 7.
2. Start with the lowest value, which is -3. The condition states that x can be equal to -3, so our set includes -3.
3. The next integer up from -3 is -2, so we include -2 in our set.
4. Following the integers in increasing order, we also include -1.
5. We continue this progression including the integers 0, 1, 2, 3, 4, 5, and 6.
6. The next integer, 7, is not included because our condition states that x should be less than 7, not less than or equal to 7.
So, the set A in roaster form is as follow:
A = {-3, -2, -1, 0, 1, 2, 3, 4, 5, 6}