Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 6: Q67. (page 392)

Solve each system of inequalities by graphing.

x>3y<x+2

Short Answer

Expert verified

The solution of the system of inequalities is double shaded region in the graph given below:

Step by step solution

01

Step 1. Graph the inequalities.

Here the equations are:

x>3and y<x+2

The strategy is to solve the inequalities by graphing. The graph of the system of inequalities is drawn as below:

02

Step 2. State interpretation of the graph. 

The graph ofx=3 is dashed (the line in black) and is not included in the graph of the solution. The graph ofy=x+2 (the line in brown) is dashed again and therefore, is not included in the graph of the solution.

03

Step 3. State the conclusion.

The solution of the system is the set of ordered pairs in the intersection of the graphs of x>3andy<x+2. This region is green double shaded region.

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.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

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

State whether each sentence is true or false. If false, replace the underlined term to make a true sentence.

If a consistent system has an infinite number of solutions, it is said to be inconsistent.

Graph each system and determine the number of solutions that it has. If it has one solution, name it.

x−4y=−6y=−1

Write the equation in Slope-intercept form with a slope of−23 and a y-intercept 6.

Use elimination to solve each system of equations.

x+y=9x−y=−3

Use elimination to solve each system of equations.

8x−3y=−353x+4y=33
See all solutions

Recommended explanations on Math Textbooks

Mechanics Maths

Read Explanation

Probability and Statistics

Read Explanation

Pure Maths

Read Explanation

Calculus

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.

Sign-up for free