Graph the system of inequalities and indicate the region (if any)...

Textbook Question

Graph the solution set of each system of inequalities.

$x\le4$

$x\ge0$

$y\ge0$

$x+2y\ge2$

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Textbook Question

Graph the solution set of each system of inequalities.

$2y+x\ge-5$

$y\le3+x$

$x\le0$

$y\le0$

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Textbook Question

Graph the solution set of each system of inequalities.

$2x+3y\le12$

$2x+3y>-6$

$3x+y\lt{4}$

$x\ge0$

$y\ge0$

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Textbook Question

Graph the solution set of each system of inequalities.

$y>x^2+2$

$y\le x-2$

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Textbook Question

Graph the solution set of each system of inequalities.

$3x-2y\ge6$

$x+y\le-5$

$y\le4$

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Textbook Question

Graph the solution set of each system of inequalities.

$y\le x^3-x$

$y>-3$

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Textbook Question

Graph the solution set of each system of inequalities.

$y\ge3^{x}$

$y\ge2$

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Textbook Question

Graph the solution set of each system of inequalities.

$y\le\log x$

$y\ge\left|x-2\right|$

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Textbook Question

Graph the solution set of each system of inequalities.

$e^{x}-y\le1$

$x-2y\ge4$

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Textbook Question

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.

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Textbook Question

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.

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Textbook Question

In Exercises 39–45, graph each inequality. y ≤ 2^x

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Textbook Question

In Exercises 39–45, graph each inequality. y ≤ x^2 - 1

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Textbook Question

In Exercises 39–45, graph each inequality. y ≤ (-1/2)x + 2

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Textbook Question

In Exercises 39–45, graph each inequality. 3x - 4y > 12

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Textbook Question

Graph each inequality. x + 2y ≤ 6

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Textbook Question

Graph each inequality. 4y - 3x ≤ 5

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Textbook Question

Graph each inequality. x < 3 + 2y

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Textbook Question

Graph each inequality. 2x > 3 - 4y

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Textbook Question

Graph each inequality. x ≤ 3

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Textbook Question

Graph each inequality. y < 3x^2 + 2

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Textbook Question

Graph each inequality. y > (x - 1)^2 + 2

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Textbook Question

Graph each inequality. x^2 + (y + 3)^2 ≤ 16

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Textbook Question

Graph each inequality. y > 2^x + 1

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Textbook Question

Graph each inequality. y ≤ log(x - 1) - 2

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Textbook Question

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

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Textbook Question

Match each inequality with the appropriate calculator graph in A–D. Do not use a calculator y ≤ -3x - 6

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Textbook Question

Graph the solution set of each system of inequalities. x + y ≥ 0 2x - y ≥ 3

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Textbook Question

Graph the solution set of each system of inequalities. 2x + y > 2 x - 3y < 6

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Textbook Question

Graph the solution set of each system of inequalities. 3x + 5y ≤ 15 x^2 + y^2 < 9

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Textbook Question

Graph the solution set of each system of inequalities. 4x - 3y ≤ 12 y ≤ x^2

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Textbook Question

Graph the solution set of each system of inequalities. x + 2y ≤ 4 y ≥ x^2 - 1

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Textbook Question

Graph the solution set of each system of inequalities. y ≥ (x - 2)^2 + 3 y ≤ -(x - 1)^2 + 6

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Textbook Question

Graph the solution set of each system of inequalities. y ≥ x^2 + 4x + 4 y < -x^2

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Textbook Question

In Exercises 1–26, graph each inequality. x+2y≤8

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Textbook Question

In Exercises 1–26, graph each inequality. x−2y>10

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Textbook Question

In Exercises 1–26, graph each inequality. y≤(1/3)x

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Textbook Question

In Exercises 1–26, graph each inequality. y>2x−1

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Textbook Question

In Exercises 1–26, graph each inequality. x≤−3

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Textbook Question

In Exercises 1–26, graph each inequality. y>−3

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Textbook Question

In Exercises 1–26, graph each inequality. x^2+y^2≤1

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Textbook Question

In Exercises 1–26, graph each inequality. x^2+y^2>25

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Textbook Question

In Exercises 1–26, graph each inequality. (x−2)^2+(y+1)^2<9

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Textbook Question

In Exercises 1–26, graph each inequality. y

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Textbook Question

In Exercises 1–26, graph each inequality. y≥x^2−9

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Textbook Question

In Exercises 1–26, graph each inequality. y≥log_2(x+1)

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Textbook Question

In Exercises 27–62, graph the solution set of each system of inequalities or indicate that the system has no solution. 3x+6y≤6, 2x+y≤8

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Textbook Question

In Exercises 27–62, graph the solution set of each system of inequalities or indicate that the system has no solution. 2x−5y≤10, 3x−2y>6

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Textbook Question

In Exercises 27–62, graph the solution set of each system of inequalities or indicate that the system has no solution. y>2x−3, y<−x+6

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Textbook Question

In Exercises 27–62, graph the solution set of each system of inequalities or indicate that the system has no solution. x+2y≤4, y≥x−3

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Textbook Question

In Exercises 27–62, graph the solution set of each system of inequalities or indicate that the system has no solution. x≤2, y≥−1

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Textbook Question

In Exercises 27–62, graph the solution set of each system of inequalities or indicate that the system has no solution. −2≤x<5

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Textbook Question

In Exercises 27–62, graph the solution set of each system of inequalities or indicate that the system has no solution. x−y≤1, x≥2

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Textbook Question

In Exercises 27–62, graph the solution set of each system of inequalities or indicate that the system has no solution. x+y>4, x+y<−1

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Textbook Question

In Exercises 27–62, graph the solution set of each system of inequalities or indicate that the system has no solution. x+y>4, x+y>−1

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Textbook Question

In Exercises 27–62, graph the solution set of each system of inequalities or indicate that the system has no solution. y≥x^2−1, x−y≥−1

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Textbook Question

In Exercises 27–62, graph the solution set of each system of inequalities or indicate that the system has no solution. x^2+y^2≤16, x+y>2

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Textbook Question

In Exercises 27–62, graph the solution set of each system of inequalities or indicate that the system has no solution. x^2+y^2>1, x^2+y^2<16

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Textbook Question

In Exercises 27–62, graph the solution set of each system of inequalities or indicate that the system has no solution. (x−1)^2+(y+1)^2<25, (x−1)^2+(y+1)^2≥16

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Textbook Question

In Exercises 27–62, graph the solution set of each system of inequalities or indicate that the system has no solution. x^2+y^2≤1, y−x^2>0

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Textbook Question

In Exercises 27–62, graph the solution set of each system of inequalities or indicate that the system has no solution. x^2+y^2<16, y≥2^x

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Textbook Question

In Exercises 27–62, graph the solution set of each system of inequalities or indicate that the system has no solution. x−y≤2, x>−2, y≤3

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Textbook Question

In Exercises 27–62, graph the solution set of each system of inequalities or indicate that the system has no solution. 3x+y≤6, 2x−y≤−1, x>−2, y<4

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Textbook Question

In Exercises 27–62, graph the solution set of each system of inequalities or indicate that the system has no solution. x≥0, y≥0, 2x+ 5y< 10, 3x + 4y ≤ 12

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Textbook Question

In Exercises 63–64, write each sentence as an inequality in two variables. Then graph the inequality. The y-variable is at least 4 more than the product of -2 and the x-variable.

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Textbook Question

In Exercises 65–68, write the given sentences as a system of inequalities in two variables. Then graph the system. The sum of the x-variable and the y-variable is at most 4. The y-variable added to the product of 3 and the x-variable does not exceed 6.

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Textbook Question

In Exercises 65–68, write the given sentences as a system of inequalities in two variables. Then graph the system. The sum of the x-variable and the y-variable is no more than 2. The y-variabe is no less than the difference between the square of the x-variable and 4.

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Textbook Question

In Exercises 69–70, rewrite each inequality in the system without absolute value bars. Then graph the rewritten system in rectangular coordinates. |x|≤2, |y|≤3

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Textbook Question

In Exercises 57–59, graph the region determined by the constraints. Then find the maximum value of the given objective function, subject to the constraints. This is a piecewise function. Refer to the textbook.

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Textbook Question

In Exercises 57–59, graph the region determined by the constraints. Then find the maximum value of the given objective function, subject to the constraints. This is a piecewise function. Refer to the textbook.

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Textbook Question

Find the value of the objective function z = 2x + 3y at each corner of the graphed region shown. What is the maximum value of the objective function? What is the minimum value of the objective function?

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Textbook Question

Find the maximum and minimum values of each objective function over the region of feasible solutions shown at the right. objective function = 3x + 5y

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Textbook Question

The graphs show regions of feasible solutions. Find the maximum and minimum values of each objective function. objective function = 3x + 5y

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Textbook Question

Find the maximum and minimum values of each objective function over the region of feasible solutions shown at the right. objective function = 10y

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Textbook Question

In Exercises 1–4, find the value of the objective function at each corner of the graphed region. What is the maximum value of the objective function? What is the minimum value of the objective function? 1. Objective Function z=5x+6y

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Textbook Question

In Exercises 1–4, find the value of the objective function at each corner of the graphed region. What is the maximum value of the objective function? What is the minimum value of the objective function? 1. Objective Function z=40x+50y

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Textbook Question

In Exercises 5–14, 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.

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Textbook Question

In Exercises 5–14, 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.

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Textbook Question

In Exercises 5–14, 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.

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Textbook Question

In Exercises 5–14, 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.

147

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Textbook Question

In Exercises 5–14, 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.

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Multiple Choice

Graph the inequality $2x+3y$ < $6$ .

Graph the inequality $y$ < $2^{x}$ .

Graph the system of inequalities and indicate the region (if any) of solutions satisfying all equations.

$x+y\le4$

$y\ge1$

$x>0$

296

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Graph the system of inequalities and indicate the region (if any) of solutions satisfying all equations.

$3x-2y>6$
$3x-2y$ < $-4$

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Graph the system of inequalities and indicate the region (if any) of solutions satisfying all equations.﻿3x−2y>63x-2y>63x−2y>6﻿﻿3x−2y3x-2y3x−2y﻿ < ﻿−4-4−4﻿

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Graphing Systems of Inequalities practice set

Graph the system of inequalities and indicate the region (if any) of solutions satisfying all equations.

$3x-2y>6$
$3x-2y$ < $-4$