7. Systems of Equations & Matrices

An objective function and a system of linear inequalities representing constraints are given. a. Graph the system of inequalities representing the constraints. b. Find the value of the objective function at each corner of the graphed region. c. Use the values in part (b) to determine the maximum value of the objective function and the values of x and y for which the maximum occurs.

Graph the solution set of each system of inequalities.

y ≥ x² + 4x + 4

y < -x²

Graph each inequality. x−2y>10

In Exercises 1–26, graph each inequality. x²+y²>25

Work each problem. Write the inequality that represents the region inside a circle with center (-5, -2) and radius 4.

Graph the solution set of each system of inequalities.

$2y+x\(\ge\)-5$

$y\(\le\)3+x$

$x\(\le\)0$

$y\(\le\)0$

An objective function and a system of linear inequalities representing constraints are given. a. Graph the system of inequalities representing the constraints. b. Find the value of the objective function at each corner of the graphed region. c. Use the values in part (b) to determine the maximum value of the objective function and the values of x and y for which the maximum occurs.

Ggraph each inequality. x+2y≤8

In Exercises 46–55, graph the solution set of each system of inequalities or indicate that the system has no solution.

This

is a piecewise function. Refer to the textbook.

Match each system of inequalities with the correct graph from choices A–D. x ≥ 5 y ≤ -3

Graph each inequality. 4y - 3x ≤ 5

Graph each inequality. y < 3x² + 2