/*! 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} Q19. Solve each inequality. Then grap... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 5: Q19. (page 325)

Solve each inequality. Then graph the solution set.|2f+7|鈮�21

Short Answer

Expert verified

The solution set of inequality is {f|f鈮�鈭�14orf鈮�7}.

The solution set on number line is

Step by step solution

01

Step 1. Write two cases of absolute value inequality.

For solving absolute value inequalities, there are two cases

Case 1- The expression inside the absolute value symbols is nonnegative.

Case 2- The expression inside the absolute value symbols is negative.

02

Step 2. Write given inequality for case 1 and solve.

According to case 1, |2f+7|鈮�21 is nonnegative.

2f+7鈮�212f+7鈭�7鈮�21鈭�72f2鈮�142f鈮�7

03

Step 3. Write given inequality for case 2 and solve.

According to case 2, |2f+7|鈮�21is negative.

鈭�(2f+7)鈮�212f+7鈮�鈭�212f+7鈭�7鈮�鈭�21鈭�72f2鈮�鈭�282f鈮�鈭�14

Therefore, the solution is f鈮�7or f鈮�鈭�14.

04

Step 4. Write solution set and graph the solution.

The solution set of given inequality is {t|f鈮�鈭�14orf鈮�7}.

Closed circles at 7 and 鈭�14shows these points are included into the solution set.

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

Read each question. Then fill in the correct answer on the answer document provided by your teacher or on a sheet of paper.

The highest score that is on record on a video game is 10,219 points. The lowest score on record is 257 points. Which of the following inequalities best shows the range of scores recorded on the game?

Fx鈮�10,219

Gx鈮�257

H257<x<10,219

J257鈮�x鈮�10,219

Define a variable, write an inequality, and solve each problem. Check your solution.

Three times a number increased by 8 is no more than the number decreased by 4.

Solve p+8鈮�18

F role="math" localid="1647844731947" {p|p鈮�10}

G{p|p鈮�10}

H{p|p鈮�26}

J{p|p鈮�126}

State whether each sentence is true or false. If false, replace the underlined term to make a true sentence.

The graph of a compound inequality that contains and is the intersection of the graphs of the two inequalities.

Solve each inequality. Then graph the solution set.

|3d鈭�1|鈮�8
See all solutions

Recommended explanations on Math Textbooks

Applied Mathematics

Read Explanation

Mechanics Maths

Read Explanation

Pure Maths

Read Explanation

Probability and Statistics

Read Explanation

Discrete Mathematics

Read Explanation

Decision Maths

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.