Question

The inequality $-1<x<3$ can be written in interval notation as _______________

   The inequality $-1<x<3$ can be written in interval notation as _______________

Precalculus

Michael Sullivan 10th Edition

Chapter 2, Problem 1

Instant Answer

Solved by Expert Kathleen Carty

06/14/2023

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This inequality is saying that $x$ is greater than $-1$ and less than $3$. Show more…

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The inequality $-1<x<3$ can be written in interval notation as _______________

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Key Concepts

Open Intervals

An open interval indicates that none of the endpoints are part of the set. This is represented by parentheses in interval notation and corresponds to strict inequalities, where the boundary values are excluded from the solution set.

Interval Notation

Interval notation is a method of describing a set of numbers between two endpoints. It uses parentheses to denote that the endpoints are not included (open interval) and brackets to denote that the endpoints are included (closed interval).

Inequalities

Inequalities are mathematical expressions that show the relative size or order of two values. They indicate specific ranges of values that satisfy the condition, such as a variable being greater than one value or less than another.

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