Problem 3. A graph is a way of representing the relationships between elements in a set: an edge between the vertices x and y tells us that x is related to y (which we can write as x~y). Not all sorts of relationships can be represented by a graph though. For each relationship described below, either draw the graph or explain why the relationship cannot be represented by a graph. a. The set V={1,2,...,.9) and the relationship x~y when x-y is a non-zero multiple of 3. b. The set V=(1,2,...,9) and the relationship x~y when y is a multiple of x. c. The set V={1,2,...,9) and the relationship x~y when 0< x-y|<3.

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter5: Similar Triangles
Section5.2: Similar Polygons
Problem 11E: a Does the similarity relationship have a reflexive property for triangles and polygons in general?...
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Problem 3. A graph is a way of representing the relationships between elements in a set: an edge
between the vertices x and y tells us that x is related to y (which we can write as x~y). Not all sorts of
relationships can be represented by a graph though. For each relationship described below, either draw
the graph or explain why the relationship cannot be represented by a graph.
a. The set V={1,2,...,9) and the relationship x~y when x-y is a non-zero multiple of 3.
b. The set V=(1,2,...,9) and the relationship x~y when y is a multiple of x.
c. The set V={1,2,...,9) and the relationship x~y when 0<|x-y|<3.
Transcribed Image Text:Problem 3. A graph is a way of representing the relationships between elements in a set: an edge between the vertices x and y tells us that x is related to y (which we can write as x~y). Not all sorts of relationships can be represented by a graph though. For each relationship described below, either draw the graph or explain why the relationship cannot be represented by a graph. a. The set V={1,2,...,9) and the relationship x~y when x-y is a non-zero multiple of 3. b. The set V=(1,2,...,9) and the relationship x~y when y is a multiple of x. c. The set V={1,2,...,9) and the relationship x~y when 0<|x-y|<3.
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