/*! 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. 403 Solve a System of Linear Inequal... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 4: Q. 403 (page 484)

Solve a System of Linear Inequalities by Graphing
In the following exercises, solve each system by graphing.

x+3y<5y鈮�-13x+6

Short Answer

Expert verified

There is no solution of the system of the inequality x+3y<5y鈮�-13x+6since it has no overlapped region.

Step by step solution

01

Step 1. Given

The system of inequality isx+3y<5y鈮�-13x+6

To find the solution of inequality by graphing

02

Step 2. Graph the first inequality

Graph the line x+3y=5

It is a dashed line since it contains the inequality <.

And test the point (0,0).

It is a solution to the given inequality, so shade the region that contains the point(0,0)

03

Step 3. Graph the second inequality

Graph the line y=-13x+6with slope

m=-13and y-intercept 6

The boundary line is solid line since it contains the inequality鈮�

Test the inequality with point(0,0)

It is not a solution so shade the region that does not contain the point (0,0)

04

Step 4. Solution of the inequality

From the graph, there is no overlapping region.

So the system of inequality does not contain solution.

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

Solve the system of equations by substitution

4x+y=10x-2y=-20

Two angles are complementary. The measure of the larger angle is ten more than four times the measure of the smaller angle. Find the measures of both angles.

A commercial jet can fly 1320miles in 3hours with a tailwind but only 1170miles in 3hours into a headwind. Find the speed of the jet in still air and the speed of the wind.

Solve the system by substitution:2x+y=-14x+3y=3

Translate to a system of equations and then solve:

Alexis wants to build a rectangular dog run in her yard adjacent to her neighbor鈥檚 fence. She will use 136feet of fencing to completely enclose the rectangular dog run. The length of the dog run along the neighbor鈥檚 fence will be 16feet less than twice the width. Find the length and width of the dog run.
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Logic and Functions

Read Explanation

Probability and Statistics

Read Explanation

Mechanics Maths

Read Explanation

Geometry

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.