Question

Use a Venn diagram to illustrate the relationship \(A \subseteq B\) and \(B \subseteq C\).

Short answer

The Venn diagram is,

Step-by-step solution

Definitions of Venn diagram

The Venn diagram is used to represent the universal set U, which contains all the objects under consideration.

Illustrate the relationship \(A \subseteq B\) and \(B \subseteq C\)

The set \(A\) is a subset of \(B\), which means all the elements of \(A\) are also contained within the set \(B\). Similarly, \(B\) is a subset of \(C\), and all elements of \(B\), \(A\) included are contained within \(C\). All sets are within the universal set \(U\).

Draw the Venn diagram as follows.