Systems of Inequalities Practice Problems

Consider the given system of inequalities and indicate if the inequality has a solution by graphing it. 

x + y ≥ 1

x - y ≤ 1

Consider the given system of inequalities and indicate if the inequality has a solution by graphing it. 

2x+y  ≥ 4

3x-y ≥ 9

Draw the graph of the given inequality in the rectangular coordinate system. y ≥ e^x

Draw the graph of the given inequality in the rectangular coordinate system. y ≥ 4x² + 1

Draw the graph of the given inequality in the rectangular coordinate system. y ≥ 2x + 4

Draw the graph of the given inequality in the rectangular coordinate system. 2x + 3y ≤ 24

Draw the graph for the given system of inequalities.

x ≥ 3
y ≤ -1

Draw the graph for the given inequality.

2x + 3y ≤ 12

Draw the graph for the given inequality.

6y - 5x ≤ 11

Draw the graph for the given inequality.

x < 4 + 3y

Draw the graph for the given inequality.

x > 6 - 5y

Draw the graph for the given inequality.

x ≤ 5

Draw the graph for the given inequality.

y < 5x² + 3

Draw the graph for the given inequality.

y > (x - 2) ² + 4

Draw the graph for the given inequality.

x² + (y + 1) ² ≤ 9

Draw the graph for the given inequality.

y > 3^x + 2

Draw the graph for the given inequality.

y ≤ log(x - 3) - 4

Consider a circle with a center (-3, -4) and radius of 6 units. Write the inequality that shows the region inside the circle.

Draw the graph for the given inequality.

y ≤ -2x - 4

Provide the graph of the solution set of the following system:

Provide the graph of the solution set of the following system:

Provide the graph of the solution set of the following system:

Provide the graph of the solution set of the following system:

Provide the graph of the solution set of the following system:

Provide the graph of the solution set of the following system:

Provide the graph of the solution set of the following system:

Graph the following inequality: 2x + 4y ≤ 6

Graph the following inequality: x - 4y > 16

Graph the following inequality: y ≤ (1/6)x

Graph the following inequality: y > 6x - 3

Graph the following inequality: x ≤ -8

Graph the following inequality: y > -10

Graph the following inequality: x² + y² ≥ 9

Graph the following inequality: x² + y² < 81

Graph the following inequality: (x + 5)² + (y - 4)² < 49

Graph the following inequality: y < x² + 4

Graph the following inequality: y ≥ -x² + 5

Graph the following inequality: y < 4^x

Graph the following inequality: y ≥ log (x - 3)

Consider the following system of inequalities:

Graph the solution set or state that there is no solution.

Consider the following system of inequalities:

Graph the solution set or state that there is no solution.

Consider the following system of inequalities:

Graph the solution set or state that there is no solution.

Consider the following system of inequalities:

Graph the solution set or state that there is no solution.

Consider the following system of inequalities:

Graph the solution set or state that there is no solution.

Consider the following system of inequalities: −5 < x ≤ 3

Graph the solution set or state that there is no solution.

Consider the following system of inequalities:

Graph the solution set or state that there is no solution.

Consider the following system of inequalities:

Graph the solution set or state that there is no solution.

Consider the following system of inequalities:

Graph the solution set or state that there is no solution.

Consider the following system of inequalities: 

Graph the solution set or state that there is no solution.

Consider the following system of inequalities: 

Graph the solution set or state that there is no solution.

Consider the following system of inequalities: 

Graph the solution set or state that there is no solution.

Consider the following system of inequalities: 

Graph the solution set or state that there is no solution.

Consider the following system of inequalities: 

Graph the solution set or state that there is no solution.

Consider the following system of inequalities: 

Graph the solution set or state that there is no solution.

Consider the following system of inequalities: 

Graph the solution set or state that there is no solution.

Consider the following system of inequalities: 

Graph the solution set or state that there is no solution.

Convert the following statement into a system of inequality in two variables and graph the system.

"The y-variable is at least 9 more than the product of - 6 and the x-variable."

Express the following statements as a system of inequalities in two variables and using one cartesian coordinate system, graph the solution set.

"y added to x yields a sum that is at most seven.
The product of 4 and x added to y can not be greater than eleven."

Express the following statements as a system of inequalities in two variables and using one cartesian coordinate system, graph the solution set.

"y added to x yields a sum that is no more than five.
y is no less than the square of x decreased by 9."

Write the following system of inequalities into equivalent expressions but without the absolute value bars and graph the resulting system in the same cartesian plane.