-6, -5, -4, -3, -2, -1. They are all on the right of -7 on the number line so they are greater than -7.
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As 6 is a positive integer, no negative integer is greater than it.
Yes. All negative integers are also less than 0.
x = {-3, -2, -1, 0, 1, 2, 3, 4...}
That would be: -7, -6, -5, -4, -3, -2, -1.
They both describe integers.