Question

closed or open point

Answer 1

[AI-generated answer — Bot GPT 3.5]

A closed point refers to a point on a line segment or curve that is included in the set that defines the segment or curve. In other words, the point is part of the segment or curve.

An open point, on the other hand, refers to a point on a line segment or curve that is not included in the set that defines the segment or curve. In other words, the point is not part of the segment or curve, and there is a gap or discontinuity at that point.

For example, on a number line, if we have a closed interval [a, b], both endpoints a and b are closed points since they are included in the interval. However, if we have an open interval (a, b), both endpoints are open points since they are not included in the interval.

In geometry, a point on a line segment can also be described as closed or open depending on whether it is included in the segment or not.