Questions: The diagram shows the relationship between two sets. a. Use the diagram to write a statement beginning with the word "all," "some," or "no" that illustrates the relationship between the sets. b. Determine if the statement in part (a) is true or false. If it is false, write its negation. a. Choose the correct statement below that illustrates the relationship between the sets. A. All birds are cardinals. B. No cardinals are birds. C. Some birds are cardinals. D. All cardinals are birds. E. Some cardinals are birds.

The diagram shows the relationship between two sets.
a. Use the diagram to write a statement beginning with the word "all," "some," or "no" that illustrates the relationship between the sets.
b. Determine if the statement in part (a) is true or false. If it is false, write its negation.
a. Choose the correct statement below that illustrates the relationship between the sets.
A. All birds are cardinals.
B. No cardinals are birds.
C. Some birds are cardinals.
D. All cardinals are birds.
E. Some cardinals are birds.
Transcript text: The diagram shows the relationship between two sets. a. Use the diagram to write a statement beginning with the word "all," "some," or "no" that illustrates the relationship between the sets. b. Determine if the statement in part (a) is true or false. If it is false, write its negation. a. Choose the correct statement below that illustrates the relationship between the sets. A. All birds are cardinals. B. No cardinals are birds. C. Some birds are cardinals. D. All cardinals are birds. E. Some cardinals are birds.
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Solution

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Solution Steps

Step 1: Analyze the Diagram

The diagram shows two sets: "Birds" and "Cardinals." The set "Cardinals" is entirely within the set "Birds," indicating that all cardinals are birds.

Step 2: Write a Statement Illustrating the Relationship

Based on the diagram, a statement that illustrates the relationship is: "All cardinals are birds."

Step 3: Determine the Truth of the Statement

The statement "All cardinals are birds" is true because the set "Cardinals" is entirely within the set "Birds."

Final Answer

  1. Statement: All cardinals are birds.
  2. Truth: The statement is true.
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