Systems of inequalities, math homework help

Find the coordinates of the vertices formed by the system of inequalities.x + y  9 y - 2x  -21 y  -4x + 15a. (6, -9), (10, -1), (2, 7)b. (-9,- 6), (-1, 10), (7, 2)c. (-30, -21), (-6, -9), (6, 15)d. (-6, -9), (6, -3), (-12, -21)===============================================================Find the minimum value of the region formed by the system of equations and functions below.y  x - 3 y  6 - 2x 2x + y  - 3 f(x, y) = 3x + 4ya. -12b. -4.5c. 9d. 24========================================================At What point is the maximum value found in the system of inequalities graphed below for the function f(x, y) = x - 2y?a. (0, 3)b. (0, 0)c. (5, 0)d. (5, 3)=====================================================At what point is the maximum value found in the system of inequalities graphed below for the function f(x, y) = 4x - 3y?a. (5, 0)b. (4, 6)c. (7, 5)d. (8, 2)=================================================================Choose the system of inequalities whose solution is represented by the graph.a. x + y > 3; -x + y > - 4b. -x + y  -4; x + y  3c. -2x + y > -4; 2x + y < 3d. -x + y > -4; x + y < 3================================================Choose the system of inequalities whose solution is represented by the graph.a. y < - 2 ; x < - 3b. y  - 2 ; x > - 3c. x  - 2 ; y > - 3d. x < - 3 ; y < - 3==================================================Which point is a solution to the system of inequalities below?x + 2y  4 y - 2x < 0a. (1, 2)b. (4, 7)c. (0, 3)d. (-1, 1)==============================================Which point is not a solution to the system of inequalities shown in the graph?a. (1, -3)b. (2, 0)c. (-4, 2)d. (0, 0)