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Because geometric figures consist of sets of points, we can apply set operations to

Chapter 10, Problem 50

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QUESTION:

Because geometric figures consist of sets of points, we can apply set operations to obtain the union, \(\cup\), or the intersection, \(\cap\), of such figures. The union of two geometric figures is the set of points that belongs to either of the figures or to both figures. The intersection of two geometric figures is the set of points common to both figures. In Exercises 47–54, use the line shown to find each set of points.

                           

\(\overline{A B} \cup \overline{B C}\)

Text Transcription:

cup

cap

overline AB cup overline BC

Questions & Answers

QUESTION:

Because geometric figures consist of sets of points, we can apply set operations to obtain the union, \(\cup\), or the intersection, \(\cap\), of such figures. The union of two geometric figures is the set of points that belongs to either of the figures or to both figures. The intersection of two geometric figures is the set of points common to both figures. In Exercises 47–54, use the line shown to find each set of points.

                           

\(\overline{A B} \cup \overline{B C}\)

Text Transcription:

cup

cap

overline AB cup overline BC

ANSWER:

Step 1 of 2

 is the union (set of points that belong to either or both) of  and  which is  highlighted below

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