/*! 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} Q1. Solve each system of inequalitie... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 3: Q1. (page 135)

Solve each system of inequalities by graphing. 1

y-x>0y+x>4

Short Answer

Expert verified

The solution of the inequalities isx<y<4-x.

Step by step solution

01

Step-1 –Concept of solving the linear inequalities

To solve the inequalities we convert the inequalities into linear equations and find the solutions of the equations to obtain the graph.

02

Step-2 –Concept of shading the region

For shading the region, we choose a point. If the point satisfies the inequalities then the shaded region is towards the point otherwise, the shaded region is away from the point.

03

Step-3 –Solving the inequalities

Given inequalities arey-x>0,y+x<4.

Their respective linear equations are y-x=0,y+x=4.

The points which satisfy the equationy-x=0,are 0,0and2,2

The points, which satisfy the equation y+x=40,4and4,0

04

Step-4 –Evaluating the shaded region

We choose1,0to get the shaded region. The point1,0does not satisfy the inequalityy-x=0but it satisfies the inequalityy+x=4

05

Step-5 –Plotting the graph

Therefore, the graph for the inequalities is

The common shaded region isx<y<4-x.

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 by graphing.

15. x+2y=62x+y=9

Graph each system of inequalities. Name the coordinates of the vertices of the feasible region. Find the maximum and minimum values of the given function.

15. How many soccer balls and volleyballs should be made to maximize the profit?

7u-14-1=4u+85

11: Solve each system of inequalities by graphing.

x+2y鈮�73x-4y>12

Graph each system of equations and describe it as consistent and independent, consistent and dependent, or inconsistent.
3x+y=36x+2y=6
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Probability and Statistics

Read Explanation

Applied Mathematics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Pure Maths

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.