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Solve the following system
of linear inequalities graphically.
x + y ≥ 5 .... (1)
x – y ≤ 3 .... (2)
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- Does the ordered pair (3, 23) satify the function g(x)=7x+2? Does it satisfy the inequality y>7x+2?3. Kathy wants to graph the linear function y = 4x + 112 using her graphing calculator. She types the function in and presses graph but cannot see the x-intercept. Her window is set to the following values shown below. Explain which value Kathy needs to adjust and state a specific value you would use to view the x- intercept. Xmin: -10 Xmax: 10 Ymin: -10 Ymax: 102. Solve Graphically Max P =4x+2y Subject to: x+2y<10 x+4y<12 x20, y 204. Use the table and graph to find each value. f(x) -8 0 0 -2 0 12 X -2 -1 0 1 2 3 a) f(1) = -2 e) g(-2) x f(2) b) f(2) + 11 f (2) + 11 = 0 + || = || f) f(2) - g(2) c) g(2) g) f(-2) + g(1) f(-2) + g(1) = -8 + (-2) = -110 g(x) d) 3.g(-3) h) x when f(x) = 1218. a. Sketch the region of solutions of the following systems of inequalities: x +y< 6 x< 5 y < 4 x 2 0 y 2 02. Let p(x) = -3x + 12. (a) Graph p(x) on the domain -3 ≤ x ≤ 5. Label the intercepts. (b) Solve p(x) = 0 for x using the function equation. (c) What is p(-2)?............ .. Sketch the region that corresponds to the given inequalities. 4x + 3y < 4 4x - 3y 2 4 -y 2 2 y y y y 10 10 10 10- Solution Set Solution Set -10 -5 5 10 -10 -5 5 10 -10 -5 5 10 -10 -5 5 10 Solution Set -5 -5 Solution Set -5 -5 10 - 10 -10 -10- Say whether the region is bounded or unbounded. O The region is bounded. O The region is unbounded. Find the coordinates of all corner points (if any). (If an answer does not exist, enter DNE.) smaller x-value (х, у) 3 larger x-value (x, y) =maximize -2X₁ - 7X₂ X3 -X₁ + X₁" X₁ X₁" -3X₁ + 3X₁" - X₂ X₁, X₁", X2, X3 20 + X3 - X₂ ≤ -7 s 7 ≤ -241. Refer to g(t) = 1² - 8t + 15. (a) Graph the function g on the domain-6 ≤t≤ 6. Be sure to label the vertex and any intercept(s). (b) Solve the inequality g(t) > 3. (c) Solve the inequality g(t)Q1. Use this graph to determine which of the following is a part of the solution set of 2x+1>(x+3)/(x-1) Option 1 Option 3 ++ 3-2 x 2 -1Recommended textbooks for youAlgebra 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 LearningAlgebra 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 EducationAlgebra 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 LearningAlgebra 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