/*! 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. 53 In Problems 53鈥�56, write a sys... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 11: Q. 53 (page 783)

In Problems 53鈥�56, write a system of linear inequalities for the given graph.

Short Answer

Expert verified

The solution is

x+y鈮�6x鈮�4x鈮�0y鈮�0

Step by step solution

01

Step 1. Given information

The graph is in the first quadrant so the values arex鈮�0&y鈮�0.

02

Step 2. Given points 

The given points of the line are (0,6)& (4,2).

slope m=(y2-y1(x2-x1)m=(2-6)(4-0)m=-44m=-1

03

Step 3. Line equation

y-y1=m(x-x1)y-0=-1(x-6)y=-x+6x+y=6

Since the origin lies in the graph so the function is x+y鈮�6.

04

Step 4. Llast line

The line parallel to y-axis equation is x=k

here k=4so the equation is localid="1646936164319" x=4

The point origin lies in the graph so inequality isx鈮�4.

05

Step 5. Solution

By considering all equations the inequalities are

x+y鈮�6x鈮�4x鈮�0y鈮�0

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 each system of equations. If the system has no solution, say that it is inconsistent.

2x+y=14x+2y=3

Solve each system of equations. If the system has no solution, say that it is inconsistent.

3x+3y=-14x+y=83

The altitude of an isosceles triangle drawn to its base is 3cm, and its perimeter is 18cm. Find the length of its base.

Graph the equation:x2+4y2=4

Solve each system of equations. If the system has no solution, say that it is inconsistent.

4x+5y=-3-2y=-8
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Calculus

Read Explanation

Mechanics Maths

Read Explanation

Applied Mathematics

Read Explanation

Probability and Statistics

Read Explanation

Pure 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.