/*! 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. 514 Write the inequality shown by th... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 4: Q. 514 (page 557)

Write the inequality shown by the shaded region in the graph with the boundary line x+y=5.

Short Answer

Expert verified

x+y>5

Step by step solution

01

Step 1. Given information 

We have been given a graph:

We have to write the inequality shown by the graph.

02

Step 2. Find the inequality representing the shaded region 

The line x+y=5 is the boundary line.

On one side of the line are the points with x+y>5 and on the other side of the line are the points with x+y<5.

Let鈥檚 test the point (0, 0) and see which inequality describes its side of the boundary line.

At (0, 0) , which inequality is true:

x+y>50+0>?50鈮�5 or x+y<50+0<50<5

So the side with (0, 0) is the side where x + y < 5.

We need to find the inequality for the region that does not contain (0,0).

Since the boundary line is graphed as a solid line, the inequality includes an equal sign.

The graph shows the solution to the inequality x + y > 5.

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 exercises, complete the table to find solutions to each linear equation.

Find the equation of the line shown in the graph.

In the following exercise, name the ordered pair of each point shown in the rectangular coordinate system :

In the following exercises, complete the table to find solutions to each linear equation.

In the following exercises, which ordered pairs are solutions to the given equation :

y=4x+3

(a) (4,3)(b)(-1,-1)(c)12,5
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Discrete Mathematics

Read Explanation

Geometry

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.