Boundary Point of Set: Definition & Problems


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question 1 of 3

A point x is a boundary point of a set S if and only if:

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1. Let S be the points interior to a square with vertices at (0,0), (0,1), (1,0), and (1,1), as shown below. Choose a point that is a boundary point for S.

2. What is the boundary of the entire xy-plane?

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About This Quiz & Worksheet

The worksheet and quiz will buttress your predilection of a boundary point of set. From the lesson, you will need to address topics such as the relationship between a given set S and a given point x.

Quiz & Worksheet Goals

These assessments will help you to:

  • Choose a point for a given set S
  • Identify boundary of xy-plane
  • Understand relationship between boundary of a set and the elements that make it up
  • Describe boundary of an annulus

Skills Practiced

This worksheet and quiz will assess for you these skills:

  • Reading comprehension - ensure that you draw the most important information from the related lesson on a boundary point of set
  • Critical thinking - apply relevant concepts to examine information about choosing boundary points in a different light
  • Interpreting information - verify that you can read information regarding the boundaries of planes

Additional Learning

If you are looking to boost your knowledge of a boundary point of set, then utilize this lesson named Boundary Point of Set: Definition & Problems. This lesson will stick to these points of study:

  • Identify a neighborhood in the sense of a boundary point of set
  • Define boundary point
  • Use a graph and plot points