/*! 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} Q5. Solve each system of inequalitie... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 3: Q5. (page 128)

Solve each system of inequalities. Sketch each graph on a sheet of paper.

3y鈮�6x-152y鈮�-x+3

Short Answer

Expert verified

The shaded region is the solution of the given inequations, which is unbounded.

Step by step solution

01

Step-1 –Apply the concept of linear equation to solve the linear inequation.

We have,

3y=6x-15.

Ifx=0, theny=-5.

Ifx=1, theny=-3.

Ifx=2, theny=-1.

鈭�The points are 0,-5,1,-3and 2,-1.

For, 2y=-x+3.

Ifx=1, theny=1.

Ifx=-1, theny=2.

Ifx=3, then y=0.

鈭�The points are 1,1,-1,2and 3,0.

02

Step-2–Plot the point on the graph paper and form a region of each inequation

03

Step-3–Identifying the common region

Since, the solution of 3y鈮�6x-15is away from the origin and the solution of2y鈮�-x+3is also towards from the origin. Therefore, the shaded region is the common region that is the solution of inequation.

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

For Exercises 39-41, use the following information.

Adam and his family are planning to rent a midsize car for one-day trip. In the Standard Rental Plan, they can rent a car for \(52 per day plus 23 cents per mile. In the Deluxe Rental Plan, they can rent a car for \)80 per day with unlimited mileage.

39. For each plan, write an equation that represents the cost of renting a car.

Graph each system of equations and describe it as consistent and independent, consistent and dependent, or inconsistent.

27.x+y=4鈭�4x+y=9

0.10d+0.25(d+7)=5.25

Write an algebraic expression to represent each verbal expression.

71. six less than the square of a number

11: Solve each system of inequalities by graphing.

x+2y鈮�73x-4y>12
See all solutions

Recommended explanations on Math Textbooks

Applied Mathematics

Read Explanation

Logic and Functions

Read Explanation

Pure Maths

Read Explanation

Geometry

Read Explanation

Probability and Statistics

Read Explanation

Discrete Mathematics

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.