Question

Write $-2<x \leq 5$ using interval notation.

   Write $-2<x \leq 5$ using interval notation.

College Algebra

College Algebra

R. David Gustafson,… 11th Edition

Chapter 0, Problem 129

Instant Answer

Solved by Expert Jeyasree R T

07/19/2020

Step 1

This inequality means that $x$ is greater than $-2$ and less than or equal to $5$. Show more…

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Write $-2<x \leq 5$ using interval notation.

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Key Concepts

Inequalities

Inequalities are mathematical statements that show the relative size or order of two values, signifying whether one is greater than, less than, or equal to another value. Translating these into interval notation is a way to display the range of values that satisfy the inequality.

Interval Notation

Interval notation is a shorthand form used to describe a set of numbers between a lower and upper bound. It uses parentheses to indicate that an endpoint is not included in the set (open interval) and brackets to show that an endpoint is included (closed interval).

Open and Closed Intervals

Open intervals, indicated by parentheses, represent boundary points that are not part of the set of allowed values, while closed intervals, represented by brackets, include the boundary values. This distinction is crucial when converting inequalities into interval notation.

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