Let B, ≤ be a partially ordered set and let C⊂ B with c Є C. Then the element bЄ B is an upper bound for C if c ≤ bfor each c Є C.
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The diameter of the subset C of the metric space B, D is the least upper bound of {D(x, y) | x, y Є C} and is often written as d(C).See related links for more information.
A line has infinitely many subsets, not just three. Any collection of points on the line constitute a subset.
ray and segment
By: Tedd Mikhail Ulit ( sori yan lang po yung nasa libro eh :)) The line, itself, is a subset (though not a proper subset). A ray is a subset of a line with one end-point which extends in only one direction. A line segment is a subset of a line with two end points. A point is a subset of a line. Finally, nothing is a subset (the null subset) of a line.
The upper bound of a number is the smallest whole number that is greater than or equal to the given number. In this case, the upper bound of 6800 is 6800 itself. The lower bound of a number is the largest whole number that is less than or equal to the given number. Therefore, the lower bound of 6800 is also 6800.