Pronunciation: /ˈoʊ pən/ Explain
A geometric figure
is open if any part of the
boundary of the figure is not
part of the figure.
|Figure 1: An open geometric figure||
The clearest example of this is a graph of inequalities. Figure 1 is the graph
of a system of inequalities. The points on the line
y < 3 - x are not part of
the boundary. Since the
y < 3 - x does not
include the points on the line, the shaded geometric figure is open.
|Figure 2: A closed geometric figure||
In figure 2, the inequality
y ≤ 3 - x does
include the points on the line, so the shaded geometric figure is not open.
- McAdams, David E.. Closed (Geometry). allmathwords.org. All Math Words Encyclopedia. Life is a Story Problem LLC. 9/6/2018. http://www.allmathwords.org/en/c/closed_g.html.
Cite this article as:
McAdams, David E. Open (Geometry). 9/6/2018. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/o/open_g.html.
9/5/2018: Removed broken links, updated license, implemented new markup. (McAdams, David E.)
10/2/2010: Clarified definition. (McAdams, David E.)
8/2/2008: Added dictionary.com to More Information (McAdams, David E.)
6/11/2008: Added hot link for inequality. (McAdams, David E.)
7/30/2007: Initial version. (McAdams, David E.)