/*! 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} Q30. Graph each inequality.x鈮.... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Q30. (page 98)

Graph each inequality.

x鈮�y.

Short Answer

Expert verified

The graph of the inequality is shown below:

Step by step solution

01

– Find the boundary line equation of the given equation.

Consider the inequality x鈮�y.

The boundary line equaton is x=y.

Here the inequality is 鈮�, graph the boundary line as a solid line.

02

– Choose a test point and test the inequality.

Choose the test point as 0,1.

Substitute x=0,y=1in x鈮�y:

x鈮�y0鈮�1鈥勨赌勨赌勨赌勨赌勨赌勨赌剆耻产蝉迟颈迟耻迟别0蹿辞谤x,1fory0<鈥�1鈥勨赌勨赌勨赌勨赌勨赌勨赌则谤耻别

Choose another test point as 0,-1.

Substitute x=0,y=-1in x鈮�y:

x鈮�y0鈮�鈭�1鈥勨赌勨赌勨赌勨赌勨赌勨赌剆耻产蝉迟颈迟耻迟别0蹿辞谤x,鈭�1fory0<鈥�1鈥勨赌勨赌勨赌勨赌勨赌勨赌则谤耻别

03

– Conclusion

Since, 0<1results a true inequality, so, shade the region that contains the points0,1,0,鈭�1.

Graphical representation ofx鈮�y

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

Answer the question that was posed at the beginning of the lesson.

How do linear equations relate to time spent studying?

Include the following in your answer:

why only the part of the graph in the first quadrant is shown, and

an interpretation of the graph's intercepts in terms of the amount of time

Lolita spends on each subject.

Chose the correct term to complete the sentence.

The Constant or identity function is a linear function described by f(x)=x

Write each equation in standard form. Identify A, B and C.

56x+115y=310

Graph the line passing through the given point with the given slope

(1,-3),2

Write an equation of a line with an x-intercept of 2.
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Mechanics Maths

Read Explanation

Geometry

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Decision Maths

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.