Graph the sets and express each set in interval notation. {x...

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Key Concepts

Inequality Notation

Inequality notation is a way to describe a set of numbers using comparison symbols such as ? or <. In this context, the inequality specifies the condition that x must meet, setting the bounds of the interval. This notation is common in defining continuous ranges of numbers.

Interval Notation

Interval notation expresses a set of numbers between two endpoints in a concise form. It uses square brackets [ ] to indicate that an endpoint is included in the set (closed endpoint) and parentheses ( ) to indicate that an endpoint is excluded (open endpoint). Converting an inequality into interval notation involves appropriately choosing brackets based on the inequality symbols.

Graphical Representation on the Number Line

Graphing intervals on a number line visually represents the set described. In this representation, closed endpoints are often marked with a filled or solid circle to show inclusion, while open endpoints are marked with an open circle to show exclusion. The line segment connecting these points corresponds to the range of values in the interval.

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