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The various subsets are:

- The empty set: nothing.
- A point: a position on the line with 0 dimensions.
- A line segment: a 1-dimensional finite subset such that, if x and y are any two points in the subset then so is mx + (1-m)y from any m in [0,1]. That is, all points between x and y are also in the set.
- A ray: a 1-dimensional subset such that one of the points x and y is an infinite distance away.
- Collections of a finite or infinite number of points, line segments and rays.
- The line itself.

For lines and rays, the end points may or may not be part of the subset.

Q: What are the subsets of a line define each?

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A line has infinitely many subsets, not just three. Any collection of points on the line constitute a subset.

ray and segment

point line plane

You define groups by selecting non-overlapping subsets of the domain which, together, cover the whole domain. For each group you combine responses for all units whose domain element (explanatory or independent variable) falls within the group.

A single line is not sufficient to define a plane. You can find a plane such that the line is in it. But if you then rotate the plane using that line as the axis of rotation, you can get an infinite number of planes such that the line belongs to each and every one of the planes.

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A line has infinitely many subsets, not just three. Any collection of points on the line constitute a subset.

define a subset

the subsets of a line are the segments the rays and the points hope this will help pls mark good

ray and segment

No. The number of subsets of that set is strictly greater than the cardinality of that set, by Cantor's theorem. Moreover, it's consistent with ZFC that there are two sets which have different cardinality, yet have the same number of subsets.

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point line plane

in geometry , a shape consist of a planes, and any plane consist of a connection of planes, and any break down lines, you can then subsets --- line segments and rays by learning about the line and its subsets, you will develop a better understanding ofthe mathematics of Geometryyou can add me as a friend in facebook for more info. :)look for crispin d. vega III thanks

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Any line on a plane divides that plane into two.

In a subset each element of the original may or may not appear - a choice of 2 for each element; thus for 3 elements there are 2 × 2 × 2 = 2³ = 8 possible subsets.

meaning of proper subsets