A third is less than a half, if that's what you meant
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The integers less than or equal to 2 are: {2, 1, 0, -1, -2, -3, ...}
2 times 3 = 6 which is less than 7 or 1 times 3 = 3 which is less than 7
The fraction greater than 1/2 but less than 1 is 2/3. This fraction falls between 1/2 and 1 on the number line, with a value closer to 1 than to 1/2. It represents two parts out of three equal parts, which is greater than half but less than the whole.
That can be expressed as -4 < [|x|] < 3. Those integers are -3, -2, -1, 0, 1, and 2.
2-3 = -1 2-8 = -6 -1 is greater than -6 so 2-3 is greater than 2-8.