/*! 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} Problem 114 Write a system of inequalities w... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 5: Problem 114

Write a system of inequalities whose solution set includes every point in the rectangular coordinate system.

Short Answer

Expert verified
The system of inequalities that includes every point in the rectangular coordinate system is: \(x \geq -\infty, x \leq \infty, y \geq -\infty, y \leq \infty \).

Step by step solution

01

Understand the Rectangular Coordinate System

A rectangular coordinate system is a plane with two perpendicular lines intersecting at their midpoints. These lines are usually called x-axis and y-axis. Each point on this plane can be represented as a pair of numbers (x, y), signifying the distance of the point from zero along each axis.
02

Identify Universal Inequalities

In order to include every point in the rectangular coordinate system, the inequalities should be universal for every possible value of x and y. By considering the nature of the rectangular coordinate system where x and y are ranging from negative infinity to positive infinity we can write down four universal inequalities to include every point in the plane: \(x \geq -\infty, x \leq \infty, y \geq -\infty, y \leq \infty \). These inequalities include all points in the rectangular coordinate system.
03

Formulate the System of Inequalities

Judging from the above analysis, it is clear that the system of inequalities that will satisfy the condition is \(x \geq -\infty, x \leq \infty, y \geq -\infty, y \leq \infty \). This system will include every possible point in the rectangular system.

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

Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. A system of two equations in two variables whose graphs are two circles must have at least two real ordered-pair solutions

Use a system of linear equations to solve. Looking for Mr. Goodbar? It's probably not a good idea if you want to look like Mr. Universe or Julia Roberts. The graph shows the four candy bars with the highest fat content, representing grams of fat and calories in each bar. Based on the graph. (GRAPH CAN'T COPY) A new restaurant is to contain two-seat tables and four-seat tables. Fire codes limit the restaurant's maximum occupancy to 56 customers. If the owners have hired enough servers to handle 17 tables of customers, how many of each kind of table should they purchase?

Involve supply and demand. The following models describe wages for low-skilled labor. \(\begin{array}{lcc}\text { Demand Model } & \text { Supply Model } \\ p-- 0.325 x+5.8 & p-0.375 x+3\end{array}\) a. Solve the system and find the equilibrium number of workers, in millions, and the equilibrium hourly wage. b. Use your answer from part (a) to complete this statement: If workers are paid ___ per hour, there will be ___ million available workers and ___ millions workers will be hired. c. In 2007 , the federal minimum wage was set at \(\$ 5.15\) per hour. Substitute 5.15 for \(p\) in the demand model, \(p--0.325 x+5.8,\) and determine the millions of workers employers will hire at this price. d. At a minimum wage of \(\$ 5.15\) per hour, use the supply model, \(p-0.375 x+3,\) to determine the millions of available workers. Round to one decimal place. e. At a minimum wage of \(\$ 5.15\) per hour, use your answers from parts (c) and (d) to determine how many more people are looking for work than employers are willing to hire.

Graphing utilities can be used to shade regions in the rectangular coordinate system, thereby graphing an inequality in two variables Read the section of the user's manual for your graphing utility that describes how to shade a region. Then use your graphing utility to graph the inequalities in Exercises 97-102. $$3 x-2 y \geq 6$$

Determine whether each statement makes sense or does not make sense, and explain your reasoning. Because \((x+3)^{2}\) consists of two factors of \(x+3,1\) set up the following partial fraction decomposition: $$\frac{5 x+2}{(x+3)^{2}}=\frac{A}{x+3}+\frac{B}{x+3}$$
See all solutions

Recommended explanations on Math Textbooks

Logic and Functions

Read Explanation

Mechanics Maths

Read Explanation

Applied Mathematics

Read Explanation

Calculus

Read Explanation

Geometry

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.