/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q41. Solve each inequality. Graph the... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Q41. (page 44)

Solve each inequality. Graph the solution set on a number line.

41. n鈮�n

Short Answer

Expert verified

Solution of inequality is all real number.

Solution set in number line is

Step by step solution

01

- Definition of absolute value inequality

For real numbers aandbwith b>0

Absolute value inequality is a<b when -b<aanda<b, and

Absolute value inequality is a>b when a<-bora>b

02

- Write properties of inequality

Properties of inequalities are written in following table:

03

- Simplify n≥n

For a>b, b is always greater than 0

So let n is a positive number

From definition of absolute value inequality, given expression is simplified to

n鈮�-norn鈮�n

Use division property of inequality, division by same positive number does not reverse the sign of inequality as shown below

n鈮�鈭�norn鈮�nnn鈮�鈭�nnornn鈮�nn1鈮�鈭�1(False)or1鈮�1(True)

04

- Graph the solution set

As solution is all real number, so all points on number line are solution of given inequality.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Find the value of each expression

0.31.5+2.4梅0.5

Name the sets of numbers to which each number belongs.

21. 121

Find the value ofabniflocalid="1646746061753" n=3,a=2000,b=-15

Name the property illustrated by each equation.

-6xy+0=-6xy

Find the value of each expression

33.1.60.7+3.3梅2.5
See all solutions

Recommended explanations on Math Textbooks

Applied Mathematics

Read Explanation

Probability and Statistics

Read Explanation

Logic and Functions

Read Explanation

Calculus

Read Explanation

Decision Maths

Read Explanation

Statistics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.