Question

graph the sets and express each set in interval notation. $$\{x | x>-1\}$$

Name: Problem 29, Chapter 0: Intermediate Algebra
Uploaded: 2020-06-18T07:11:24-08:00
Duration: 24 s
Channel: Ankit Gupta
Description: graph the sets and express each set in interval notation. {x | x>-1}

   graph the sets and express each set in interval notation.
$$\{x | x>-1\}$$

Intermediate Algebra

Julie Miller, Molly… 5th Edition

Chapter 0, Problem 29

Instant Answer

Solved by Expert Ankit Gupta

06/18/2020

Step 1

The set is defined as $\{x | x>-1\}$. This means that the set includes all real numbers x that are greater than -1. Show more…

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graph the sets and express each set in interval notation. $$\{x | x>-1\}$$

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Key Concepts

Inequalities

Inequalities describe a relationship where two expressions are not necessarily equal, specifying a condition that the variable must satisfy (for example, values greater than a certain number). They are fundamental in defining ranges of solutions in algebra.

Interval Notation

Interval notation is a standard method to express sets of real numbers succinctly by indicating the endpoints and whether these are included or not. Parentheses are used to denote that an endpoint is not part of the set (open interval), while brackets indicate inclusion (closed interval).

Graphing on a Number Line

Graphing on a number line provides a visual representation of sets of numbers. This involves marking endpoints with open or closed circles to show exclusion or inclusion, respectively, and drawing a line or ray to represent all numbers satisfying the inequality.

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