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Let's think of a line segment as a finite set of points. Along those lines, (pun intended) think of a ray and a line as infinite sets of points. Then we think of longer in terms of the size of the set. So for example, a 2 inch line segment would be longer than a 1 inch line segment because we can have more points in the set which is made of the two inch segment. The ray and the line are the same size since they both can be viewed as sets containing an infinite number of points. The line segment being a finite set is smaller than the other two.

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Q: Is a ray line segment or line longer?
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