/*! 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} Q. 21 Solve the inequality. Graph your... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 3: Q. 21 (page 151)

Solve the inequality. Graph your solution.

-3x-3<2x-83

Short Answer

Expert verified

Solution of the inequality is x>16.

Step by step solution

01

Step 1. Solve the inequality

-3x-3<2x-83

Add 3 and subtract 2x on both the sides.

鈭�3x鈭�3鈭�2x+3<2x鈭�83+3鈭�2x鈭�5x<鈭�80

Divide both sides by -5.

x>鈭�80鈭�5x>16

02

Step 2. Graph the inequality

The solution of the inequality is x>16.

That means, all values x>16 satisfy the inequality. So, the graph can be given as shown below.

03

Step 3. Check the solution

To check the solution, take any random number, x>16and substitute in the original inequality and observe the result.

Take x=20.

Then,

鈭�3脳20鈭�3<2脳20鈭�83鈭�60鈭�3<40鈭�83鈭�63<鈭�43

The result -63<-43 is true. So, the solution x>16is correct.

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

Challenge The figure shown is composed of a triangle and a rectangle. The figure has a total area of 1258 square units. Find the value of x.

The length of a rectangle is 5 feet less than twice its width. The perimeter of the rectangle is 38 feet. Let w represent the width. Write an equation for the perimeter of the rectangle in terms of w. Then solve the equation to find the length and width of the rectangle.

Solve the equation. Check your solution.

8z+4=513+z

Solve the equation. Check your solution.

14a-93=49-57a

Solve the equation. Check your solution.

25u+74=23u+92
See all solutions

Recommended explanations on Math Textbooks

Applied Mathematics

Read Explanation

Mechanics Maths

Read Explanation

Statistics

Read Explanation

Discrete Mathematics

Read Explanation

Pure Maths

Read Explanation

Calculus

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.