Zero (0) is the center of the number line. The left side is the negative numbers while the right-hand side is the positive numbers. Negative numbers closer to Zero are greater than the numbers away from it. Ex. -1 is greater than -2. All positive numbers are all greater than negative numbers. Hence, 2 is greater than -2. Check the video of Tser Jords about ordering integers.
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First of all, there's no such thing as an "interger". You're talking about "integers". The integers less than zero and greater than -7 are: -6 -5 -4 -3 -2 and -1
No, there are an infinite number of integers. So, there would be an infinite (infinity/2-1) number of positive integers. And, there would be an infinite (infinity-10) number of integers greater than ten.
That can be expressed as -4 < [|x|] < 3. Those integers are -3, -2, -1, 0, 1, and 2.
The negative integers greater than -6 are: -5, -4, -3, -2, -1.
It is {-4, -3, -2, -1}.