Recent Lessons

Show all results for ""

Feature Overview

Ace your exams with our all-in-one platform for creating and sharing quizzes and tests.

Free Tools

Explore our collection of AI-powered tools designed to boost your productivity.

Flashcards

Automatically turn your notes into digital flashcards.

Share, Export & Embed

Share with classmates or export to Excel and your learning management system.

Stats & Reporting

Auto-grading quizzes and tests with detailed stats and reports.

Mobile Apps

The smarter way to study – wherever you are.

Pricing Schools Business

Features Free Tools Pricing Schools Business

5 Questions

0 Views

Relations in Mathematics Chapter 3

Choose a study mode

Play Quiz

Study Flashcards

Spaced Repetition

Chat to Lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

Which relation must hold for a set to be considered reflexive?

Every element must relate to all other elements.

No element relates to itself.

Some elements relate to others.

Every element must be related to itself. (correct)

Which property does not guarantee that a relation is an identity relation?

Reflexivity

Transitivity (correct)

Symmetry

None of the above

Which of the following best describes a symmetric relation?

If element a is related to b, then b is also related to a. (correct)

If element a is related to b, then a cannot be related to b.

All elements are related to every other element.

If element a is not related to b, then b is related to a.

Which condition is sufficient for a relation to qualify as an identity relation?

<p>Every element relates only to itself. (A)</p> Signup and view all the answers

Which of the following is a necessary characteristic of a set to be transitive?

<p>If a is related to b and b is related to c, then a must be related to c. (B)</p> Signup and view all the answers

Relations in Mathematics Chapter 3

Choose a study mode

Podcast

Questions and Answers

Which relation must hold for a set to be considered reflexive?

Which property does not guarantee that a relation is an identity relation?

Which of the following best describes a symmetric relation?

Which condition is sufficient for a relation to qualify as an identity relation?

Which of the following is a necessary characteristic of a set to be transitive?

More Like This

Social Relations: Ingroups & Outgroups Flashcards

Understanding Intergroup Relations

Identité et relations familiales

Public Relations and Corporate Identity