Interval Definition - College Algebra Key Term

Definition

An interval is a range of numbers between two specified values. It can be open, closed, or half-open depending on whether the endpoints are included.

Intervals can be represented using inequality notation or interval notation.
A closed interval includes its endpoints and is denoted by square brackets: $[a, b]$.
An open interval does not include its endpoints and is denoted by parentheses: $(a, b)$.
A half-open (or half-closed) interval includes one endpoint but not the other, e.g., $[a, b)$ or $(a, b]$.
The union and intersection of intervals can also form new intervals, depending on their overlap.

A mathematical statement that shows the relationship between two expressions that are not equal.

The distance of a number from zero on the number line; denoted as $|x|$.

\text{In set theory}, it is the set containing all elements of given sets; often denoted as $A \cup B$.