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If you do not know whether a < c or c < a then it is much simpler in words. It is "b lies between a and c". Mathematically, it is min[0.5(a + c -|a - c|)] < b < min[0.5(a + c +|a - c|)].


If you do know that a < c then it is simply a < b < c.

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Q: What is the negation of this statement b is not between a or c?
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