Insert ∈ or ∉ in each blank to make the resulting statement true. {2} ____ {2, 4, 6, 8}

Key Concepts

Set Notation

Set notation is a mathematical language used to describe collections of objects, known as sets. In this context, the set {2, 4, 6, 8} contains the elements 2, 4, 6, and 8. Understanding how to read and interpret set notation is essential for determining relationships between individual elements and sets.

Element of a Set

The concept of an element of a set refers to whether a specific item belongs to a given set. The symbol '∈' indicates that an element is a member of a set, while '∉' indicates that it is not. For example, since 2 is included in the set {2, 4, 6, 8}, the correct symbol to use in this case would be '∈'.

Logical Statements

Logical statements are assertions that can be evaluated as true or false. In this question, the task is to determine the truth value of the statement involving the element 2 and the set {2, 4, 6, 8}. Understanding how to construct and evaluate these statements is crucial for correctly filling in the blanks with the appropriate symbols.