Insert ⊆ or s in each blank to make the resulting statement true. {5, 6, 7, 8} ____ {1, 2, 3, 4, 5, 6, 7}

Key Concepts

Set Notation

Set notation is a mathematical language used to describe collections of objects, known as elements. In this context, sets are represented by curly braces, and elements are listed within them. Understanding how to read and interpret set notation is crucial for determining relationships between sets, such as subset and superset.

Subset and Superset

A subset is a set where all its elements are also contained within another set. Conversely, a superset contains all elements of a subset. The symbols '⊆' and 's' are used to denote these relationships, with '⊆' indicating that one set is a subset of another, and 's' indicating that one set is a superset of another.

Element Inclusion

Element inclusion refers to whether an element from one set is also present in another set. This concept is fundamental when determining subset and superset relationships. For example, if every element of set A is found in set B, then A is a subset of B, which is essential for correctly filling in the blanks in the given statement.