/*! 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} Q271. Graph the linear inequality:聽y&... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 3: Q271. (page 312)

Graph the linear inequality:

y>-2x+1

Short Answer

Expert verified

The solution is

Step by step solution

01

Given data

The inequality is

y>-2x+1

02

Concept used

First, we draw the boundary line y=-2x+1.

It is in slope-intercept form y=mx+bwherem=-2and b=1

Here the inequality is >.

So, we draw a dashed line as bellow,

03

Point test

We can see that the point 0,0is not on boundary line.

To check 0,0is a solution of the inequality or not:

y>-2x+1

role="math" localid="1644463411771" 0>-2路0+1

role="math" localid="1644463421871" 0>0+1

role="math" localid="1644463430159" 0>1

Which is not possible.

So, 0,0is not a solution of the inequality y>-2x+1.

04

Conclusion

Thus, we shade in the side of the boundary line that does not include the point 0,0.

The graph will be

All points in the shaded region represent the solutions toy>-2x+1.

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

Graph the equation x+2y=4using the intercepts.

Find an Equation of the Line Given Two Points (7,1)and (5,0). Write the equation in slope鈥搃ntercept form.

In the following exercises, use the graph of the function to find its domain and range. Write the domain and range in interval notation.

Graph the equation by plotting points .

y=2x-3

In the following exercises, find an equation of a line parallel to the given line and contains the given point. Write the equation in slope鈥搃ntercept form.

2x + 5y = 鈭�10, point (10, 4)
See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Decision Maths

Read Explanation

Calculus

Read Explanation

Applied Mathematics

Read Explanation

Discrete Mathematics

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.