/*! 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} Q268. Graph the linear inequality:聽x-... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 3: Q268. (page 311)

Graph the linear inequality:

x-y<-3

Short Answer

Expert verified

The solution is

Step by step solution

01

Given data

The inequality is

x-y<-3

02

Concept used

First, we draw the boundary line x-y=-3.

Here the inequality is <.

So, we draw the dashed line as below,

03

Point test

We test the point 0,0.

x-y<-3

0-0<-3

0<-3

Which is not possible.

So, 0,0is not a solution of the inequality x-y<-3.

04

Conclusion

So, we shade the part of the boundary line that does not include the point 0,0.

The graph will be

All points in the shaded region, but not those on the boundary line, represent the solutions to x-y<-3.

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

In the following exercise, determine the most convenient method to graph each line

2x-5y=-10

Use graph of y=3x-1. For each ordered pair, decide :

(a) Is the ordered pair A(0,-1),B(2,5)a solution to the equation.

(b) Is the point A(0,-1),B(2,5)on the line?

Find the intercepts of the equation5x-y=5.

Graph the equation4x+y=4using the intercepts.

In the following exercise, use the graph of the function to find its domain and range. Write the domain and range in interval notation.
See all solutions

Recommended explanations on Math Textbooks

Geometry

Read Explanation

Calculus

Read Explanation

Pure Maths

Read Explanation

Probability and Statistics

Read Explanation

Decision Maths

Read Explanation

Applied 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.