step 1 In this question we have to draw a graph for x which should be equal to or greater than minus 5

Question

Graph $-5 \leq x<8$.

Name: Problem 21, Chapter 7: Mathematics for Health Sciences: A Comprehensive Approach
Uploaded: 2020-07-13T14:36:45-08:00
Duration: 58 s
Channel: Ankit Gupta
Description: Graph -5 ≤x<8.

   Graph $-5 \leq x<8$.

Mathematics for Health Sciences: A Comprehensive Approach

Joel R. Helms 1st Edition

Chapter 7, Problem 21

Instant Answer

Solved by Expert Ankit Gupta

07/13/2020

Step 1

Step 1: Start by drawing a number line. Show more…

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Graph $-5 \leq x<8$.

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Key Concepts

Inequalities

Inequalities are mathematical relations that compare two expressions using signs such as <, >, ?, or ?. They define a set of solutions often representing a range of values rather than a single number.

Interval Notation and Endpoint Types

Interval notation provides a concise way to express the set of all numbers lying between two endpoints. A closed endpoint, indicated by a square bracket, includes the endpoint in the set, while an open endpoint, depicted with a parenthesis, excludes it.

Graphical Representation on a Number Line

Graphing an inequality on a number line involves marking the relevant endpoints and shading the region corresponding to all values that satisfying the inequality. The use of open or closed dots illustrates whether each endpoint is included or excluded from the solution set.

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