12.6k views
4 votes
Can you give an example of a relation whose domain is a SET but whose range is a NONSET?

User TjeerdJan
by
8.4k points

1 Answer

4 votes

Final answer:

An example of a relation whose domain is a set but whose range is a non-set is shown.

Step-by-step explanation:

A relation is a set of ordered pairs (x,y), where x is from the domain and y is from the range. In this case, we need to find an example where the domain is a set but the range is a non-set.

One example of such a relation is the following:

Domain: {1,2,3}

Range: {a,b,c,d}

Relation: {(1,a), (2,b), (3,c), (1,d)}

In this example, the domain is the set {1,2,3}, which is a set. However, the range is the set {a,b,c,d}, which is also a set. Therefore, we have found a relation whose domain is a set but whose range is a non-set.

User Heather McVay
by
8.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories