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The integers between -4 and 0 are -3, -2, -1 (along with the -4 and 0).
Well, honey, the integers between -4 and 3 are -3, -2, -1, 0, 1, 2. So, put on your big girl pants and count them up!
8
{-1, 0, 1, 2, 3, 4}
The even integers between -4 and 4 are: -4, -2, 0, 2, 4