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Chapter 8: Problem 35

What is a relation? Describe what is meant by its domain and its range.

Short Answer

Expert verified
A relation is a collection of ordered pairs that associates elements from one set to another set. The domain of a relation is the set of all first components of these ordered pairs, while the range of the relation is the set of all second components of the ordered pairs.

Step by step solution

01

Explain what is a relation

A relation between two sets is a collection of ordered pairs containing one object from each set. It relates elements of one set of numbers to elements of another set of numbers, typically of two same or different classes. For instance, a brotherhood is a relation as it associates certain pairs of siblings.
02

Explain what is the domain of a relation

The domain of a relation is the set of all x's such that there is a pair (x,y) in the relation. In simpler words, it can be explained as the set of all first components from the ordered pairs in a relation.
03

Explain what is the range of a relation

The range of a relation is the set of all y's such that there is a pair (x,y) in the relation. In simpler terms, it is the set of all second components from the ordered pairs in a relation.

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