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cam875
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If you were to describe a line segment as the set where all of its infinite points were individual elements within the set than wouldn't the overall set which is the line segment also be considered infinite and not finite.
Yes, as a set containing an "infinite" number of points, it is an infinite set. But that has nothing to do with its length if you were thinking of that as being finite.cam875 said:If you were to describe a line segment as the set where all of its infinite points were individual elements within the set than wouldn't the overall set which is the line segment also be considered infinite and not finite.
cam875 said:so its geometrical length is still considered finite although its set is considered infinite?
A line segment is a part of a line that is bounded by two distinct endpoints. It can be measured in terms of length and has a definite starting and ending point.
A line segment is considered infinite if it extends indefinitely in both directions. On the other hand, a line segment is finite if it has a definite length and two distinct endpoints.
No, a line segment cannot be both infinite and finite. It can only be one or the other, depending on its length and endpoints.
A line extends infinitely in both directions and has no endpoints, while a line segment has a definite length and two distinct endpoints.
A line segment can be represented on a coordinate plane by plotting its two endpoints and connecting them with a straight line.