
To graph: The inequality

Explanation of Solution
Given information:
The inequality given here is
Graph:
The graph of the above inequality is obtained as below:-
The solution of the inequality is the set of all ordered pair of numbers such that it satisfies the inequality. In case of single variable inequality, it is those values of that variable which satisfy this inequality. In case of two variable inequality , the graph is some portion of the number line and in case of two variable inequality, it is the graph on a plane .
These are the steps to be followed in order to graph any inequality.
- Replace the inequality symbol with an equal sign and plot the obtained equation.
- Take any point in one of the half plane of that line to see if it satisfies the inequality.
- If the chosen point satisfies the inequality, then this half plane is the solution. Else, the other half plane is the solution of that inequality.
- Replace the inequality symbol with an equal sign and plot the obtained equation.
- Take any point in one of the half plane of that line to see if it satisfies the inequality.
- If the chosen point satisfies the inequality, then this half plane is the solution. Else, the other half plane is the solution of that inequality.
Interpretation:
First , the equation
The graph of the above inequality is obtained as below.
The solution of the inequality is the set of all ordered pair of numbers such that it satisfies the inequality. In case of single variable inequality, it is those values of that variable which satisfy this inequality.In case of two variable inequality , the graph is some portion of the number line.and in case of two variable inequality, it is the graph on a plane .
These are the steps to be followed in order to graph any inequality.
Chapter 2 Solutions
Algebra 2
Additional Math Textbook Solutions
A First Course in Probability (10th Edition)
University Calculus: Early Transcendentals (4th Edition)
Algebra and Trigonometry (6th Edition)
Calculus: Early Transcendentals (2nd Edition)
Intro Stats, Books a la Carte Edition (5th Edition)
College Algebra with Modeling & Visualization (5th Edition)
- Practice k Help ises A 96 Anewer The probability that you get a sum of at least 10 is Determine the number of ways that the specified event can occur when two number cubes are rolled. 1. Getting a sum of 9 or 10 3. Getting a sum less than 5 2. Getting a sum of 6 or 7 4. Getting a sum that is odd Tell whether you would use the addition principle or the multiplication principle to determine the total number of possible outcomes for the situation described. 5. Rolling three number cubes 6. Getting a sum of 10 or 12 after rolling three number cubes A set of playing cards contains four groups of cards designated by color (black, red, yellow, and green) with cards numbered from 1 to 14 in each group. Determine the number of ways that the specified event can occur when a card is drawn from the set. 7. Drawing a 13 or 14 9. Drawing a number less than 4 8. Drawing a yellow or green card 10. Drawing a black, red, or green car The spinner is divided into equal parts. Find the specified…arrow_forwardAnswer the questionsarrow_forwardHow can I prepare for me Unit 3 test in algebra 1? I am in 9th grade.arrow_forward
- Asked this question and got a wrong answer previously: Third, show that v3 = (−√3, −3, 3)⊤ is an eigenvector of M3 . Also here find the correspondingeigenvalue λ3 . Just from looking at M3 and its components, can you say something about the remaining twoeigenvalues? If so, what would you say?arrow_forwardDetermine whether the inverse of f(x)=x^4+2 is a function. Then, find the inverse.arrow_forwardThe 173 acellus.com StudentFunctions inter ooks 24-25/08 R Mastery Connect ac ?ClassiD-952638111# Introduction - Surface Area of Composite Figures 3 cm 3 cm 8 cm 8 cm Find the surface area of the composite figure. 2 SA = [?] cm² 7 cm REMEMBER! Exclude areas where complex shapes touch. 7 cm 12 cm 10 cm might ©2003-2025 International Academy of Science. All Rights Reserved. Enterarrow_forward
- You are given a plane Π in R3 defined by two vectors, p1 and p2, and a subspace W in R3 spanned by twovectors, w1 and w2. Your task is to project the plane Π onto the subspace W.First, answer the question of what the projection matrix is that projects onto the subspace W and how toapply it to find the desired projection. Second, approach the task in a different way by using the Gram-Schmidtmethod to find an orthonormal basis for subspace W, before then using the resulting basis vectors for theprojection. Last, compare the results obtained from both methodsarrow_forwardPlane II is spanned by the vectors: - (2) · P² - (4) P1=2 P21 3 Subspace W is spanned by the vectors: 2 W1 - (9) · 1 W2 1 = (³)arrow_forwardshow that v3 = (−√3, −3, 3)⊤ is an eigenvector of M3 . Also here find the correspondingeigenvalue λ3 . Just from looking at M3 and its components, can you say something about the remaining twoeigenvalues? If so, what would you say? find v42 so that v4 = ( 2/5, v42, 1)⊤ is an eigenvector of M4 with corresp. eigenvalue λ4 = 45arrow_forward
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education





