Equivalence Relation: Definition & Examples


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question 1 of 3

Which of the following is not a requirement for a relation to be an equivalence relation?

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1. Suppose we are considering the set of all real numbers with the relation, 'greater than or equal to' 5. Which of the following is not true?

2. Suppose we are considering the set of all real numbers with the relation, 'differs by no more than two'. Which of the following is not true?

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About This Quiz & Worksheet

Equivalence relations are helpful to be familiar with and this quiz/worksheet will help you assess your understanding of their characteristics and properties.

Quiz & Worksheet Goals

In these assessments you'll be tested on several aspects of equivalence relations, including:

  • Requirements for equivalence relations
  • The implications of equivalence relations
  • The types of equivalence relations

Skills Practiced

This quiz and worksheet allow students to test the following skills:

  • Reading comprehension - ensure that you draw the most important information from the lesson on the conditions of equivalence relations
  • Distinguishing differences - compare and contrast different criteria of equivalence relations
  • Interpreting information - verify that you can read information regarding what constitutes an equivalence relation and interpret it correctly

Additional Learning

To learn more about equivalence relations, review the accompanying lesson Equivalence Relation: Definition & Examples. This lesson covers the following objectives:

  • Define equivalence
  • Define equivalence relation
  • Familiarize yourself with the criteria for equivalence relations
  • Understand how to verify an equivalence relation through provided examples