Understanding Open Circles in Math | A Guide to Graphical Representations and Exclusions

open circle

In the context of mathematics, an open circle refers to a graphical representation of a point on a coordinate plane

In the context of mathematics, an open circle refers to a graphical representation of a point on a coordinate plane. It is also known as an open dot. When plotting a point on a coordinate plane using an open circle, you draw a small circle without filling it in.

The open circle is typically used to represent a point that is not included in a given set or interval. For example, if we have a number line representing the set of all real numbers, and we want to represent the interval from -2 to 3, excluding both endpoints, we would plot open circles at -2 and 3 to indicate that these values are not included in the interval.

Similarly, in a Cartesian coordinate system, if we have a graph representing a function or a set of points, the open circle is used to denote that the point being graphed is not actually part of the function or set.

It is important to understand that the open circle symbolizes exclusion, indicating that the point or value it represents is not part of the set or function being considered.

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