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Master

Relations

Master relations with interactive lessons and practice problems! Designed for students like you!

Understanding Relations

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Video explanation of this concept

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Beginner

Start here! Easy to understand

Beginner Explanation

A relation is a set of ordered pairs. For example, $R = \{(1,2), (3,4), (5,6)\}$ pairs 1→2, 3→4, 5→6. The domain is $\{1, 3, 5\}$ and the range is $\{2, 4, 6\}$.
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Practice Problems

Test your understanding with practice problems

1

Quick Quiz

Single Choice Quiz
Beginner

Which of the following is an ordered pair?

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2

Real-World Problem

Question Exercise
Intermediate

Teenager Scenario

Consider the relation between hours studied and grades received: $(\text{hours}, \text{grade})$
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3

Thinking Challenge

Thinking Exercise
Intermediate

Think About This

If you have the ordered pairs (2, 3), (4, 5), and (6, 7), what is the domain?

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4

Challenge Quiz

Single Choice Quiz
Advanced

What is the range of the relation defined by the ordered pairs (1, 2), (3, 4), (5, 6)?

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Recap

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Review key concepts and takeaways

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