Chapter 13.1, Problem 3AYU

True or false The intersection of two sets is always a subset of their union. (pp. 2-3)

To determine

To write: Whether the intersection of two sets is always subset of their union is true or false.

Answer to Problem 3AYU

True.

Explanation of Solution

Given:

To consider two sets and their union and intersection.

Consider two sets $A$ and $B$.

Union of $A$ and $B$ contain the elements that are in $A$ or $B$ and both in $A$ and $B$.

The intersection consists of elements that are in both the sets $A$ and $B$.

Hence, intersection of two sets is always subset of their union is true.