The correct answer is "A graph may contain no edges and many vertices".

Here's why:

A graph in mathematics is a set of points, called vertices, and lines connecting those points, called edges.

1. "A graph may contain many edges and no vertices" - This is not possible because edges are connections between vertices. Without vertices, there can be no edges.

2. "A graph may contain no edges and many vertices" - This is possible. A graph can have many vertices with no edges connecting them. This is known as a null graph.

3. "A graph may contain no edges and no vertices" - This is also possible. This is known as an empty graph.

4. "A graph may contain no vertices and many edges" - This is not possible for the same reason as the first option. Without vertices, there can be no edges.

So, the correct answer is "A graph may contain no edges and many vertices".

Question

The correct answer is "A graph may contain no edges and many vertices".

Here's why:

A graph in mathematics is a set of points, called vertices, and lines connecting those points, called edges.

1. "A graph may contain many edges and no vertices" - This is not possible because edges are connections between vertices. Without vertices, there can be no edges.

2. "A graph may contain no edges and many vertices" - This is possible. A graph can have many vertices with no edges connecting them. This is known as a null graph.

3. "A graph may contain no edges and no vertices" - This is also possible. This is known as an empty graph.

4. "A graph may contain no vertices and many edges" - This is not possible for the same reason as the first option. Without vertices, there can be no edges.

So, the correct answer is "A graph may contain no edges and many vertices".

Knowee AI · Accepted Answer

The correct answer is "A graph may contain no edges and many vertices".

Here's why:

A graph in mathematics is a set of points, called vertices, and lines connecting those points, called edges.

1. "A graph may contain many edges and no vertices" - This is not possible because edges are connections between vertices. Without vertices, there can be no edges.

2. "A graph may contain no edges and many vertices" - This is possible. A graph can have many vertices with no edges connecting them. This is known as a null graph.

3. "A graph may contain no edges and no vertices" - This is also possible. This is known as an empty graph.

4. "A graph may contain no vertices and many edges" - This is not possible for the same reason as the first option. Without vertices, there can be no edges.

So, the correct answer is "A graph may contain no edges and many vertices".

Which of the following is true?Group of answer choicesA graph may contain many edges and no verticesA graph may contain no edges and many verticesA graph may contain no edges and no verticesA graph may contain no vertices and many edges

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