Questions: Multiple Select Question Select all that apply Given statement: A collection of shoes. Question: Identify the set and elements from the given statement. The word "of" in the given statement is referred to as a set. The English article "A" is referred to as an element. The collection of shoes is called a set. Each shoe in the collection is called an element.

Solution Steps

To identify the set and elements from the given statement "A collection of shoes," we need to understand the definitions of a set and its elements. A set is a well-defined collection of distinct objects, considered as an object in its own right. The elements of a set are the objects or members contained within it. In this context, the collection of shoes is the set, and each individual shoe within that collection is an element.

The given statement is "A collection of shoes." In mathematical terms, a set is a well-defined collection of distinct objects. Here, the "collection of shoes" is the set. We denote this set as \( S \).

The elements of a set are the individual objects contained within it. In this case, each shoe in the collection is an element of the set \( S \). The elements are \(\text{shoe1}\), \(\text{shoe2}\), and \(\text{shoe3}\).

We can represent the set \( S \) and its elements as follows: \[ S = \{\text{shoe1}, \text{shoe2}, \text{shoe3}\} \]

Final Answer