
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.
(i) Replace the inequality symbol with an equal sign and plot the obtained equation.
(ii) Take any point in one of the half plane of that line to see if it satisfies the inequality.
(iii) 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.
(iv) Replace the inequality symbol with an equal sign and plot the obtained equation.
(v) Take any point in one of the half plane of that line to see if it satisfies the inequality.
(vi) 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.
Chapter 2 Solutions
Glencoe Algebra 2 Student Edition C2014
Additional Math Textbook Solutions
Pre-Algebra Student Edition
Basic Business Statistics, Student Value Edition
Elementary Statistics: Picturing the World (7th Edition)
Thinking Mathematically (6th Edition)
University Calculus: Early Transcendentals (4th Edition)
Algebra and Trigonometry (6th Edition)
- Consider the table of values below. x y 2 64 3 48 4 36 5 27 Fill in the right side of the equation y= with an expression that makes each ordered pari (x,y) in the table a solution to the equation.arrow_forwardsolving for xarrow_forwardConsider the table of values below. x y 2 63 3 70 4 77 5 84 Fill in the right side of the equation y= with an expression that makes each ordered pari (x,y) in the table a solution to the equation.arrow_forward
- There were 426 books sold in one week. The number of biology books sold was 5 times that of the number of psychology books. How many books each were sold?arrow_forwardPopulation decreases 5% each year. Starts with a starting population of 3705. Find that population after 5 years.arrow_forwardsolve using substitution -2x-3y=-15 -3x+9y=12arrow_forward
- Suppose that 7000 is placed in an accout that pays 4% interest. Interest compunds each year. Assume that no withdraws are made. How much would the account have after 1 year? And how much would the account have after 2 years?arrow_forwardUse substitution to solve the equations -2x+5y=18 x=2y-8arrow_forward5) For each function represented by an equation, make a table and plot the corresponding points to sketch the graph of the function. (a) y = 75 ()* 220 X y 200- -2 180 160 -1 140 0 120 100 1 60 80 2 3 4 x (b) y = 20 ()* 1 60 40 20 20 0 2 3 65- -1 X y 60 -2 55- 50 45 44 40 0 35- 30 1 25 2 20 20 15 3 10 5 LO 4 3-2 T -1 0 5- 4- -3- 2-arrow_forward
- A system of inequalities is shown. y 5 3 2 1 X -5 -4 -3 -2 -1 0 1 2 3 4 5 -1- Which system is represented in the graph? Oy>-x²-x+1 y 2x²+3 -2 -3 тarrow_forwardWhich set of systems of equations represents the solution to the graph? -5 -4 -3 -2 Of(x) = x² + 2x + 1 g(x) = x²+1 f(x) = x²+2x+1 g(x) = x²-1 f(x) = −x² + 2x + 1 g(x) = x²+1 f(x) = x² + 2x + 1 g(x) = x²-1 -1 5 y 4 3 2 1 0 -1- -2 -3- -4. -5 1 2 3 4 5arrow_forwardWhich of the graphs below correctly solves for x in the equation -x² - 3x-1=-x-4? о 10 8 (0,2) -10 -8 -6 -2 2 4 6 8 10 (-4,-2) -2 + (0,2) (4,6) -10-8-6-4-2 -2 2 4 6 8 10 (-3, -1) -2 2 (1-5) -6 -8 -10 10 -10-8-6-4-2 2 6 8 10 (2,0)arrow_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





