1. In the graph of the system y > 9x + 6 and y < - 3x + 2, would the boundary lines be solid or dashed? Why? Would the boundary lines be solid or dashed? Why?
A. The boundary lines would be dashed because they are included as part of the solution of the system whenever the system of inequalities contains only symbols.
B. The boundary lines would be solid because they are included as part of the solution of the system whenever the system of inequalities contains only symbols.
C The boundary lines would be solid because they are not included in the solution of the system whenever the system of inequalities contains only symbols.
D The boundary lines would be dashed because they are not included in the solution of the system whenever the system of inequalities contains only symbols.
2. Stephanie wanted to know if the point (3, - 4) lies in the region that is a solution for y < - 2x +3 and y > 5x - 3. How could she determine if this is true?
How could Stephanie determine if the point (3, - 4) lies in the region that is a solution for y< -2x+3 andy> 5x-3?
A. She could determine if the point lies on either the line y = - 2x +3 or the line y a 5x- 3. If so, the point lies in the region that is a solution. Otherwise, it does not.
B. She could substitute 3 for x and - 4 for y in each inequality. If the point satisfies both inequalities, it lies in the region that is a solution. Otherwise, it does not
C. She could determine if the lines y = - 2x +3 and y = 5x - 3 intersect at (3, - 4). If so, the point lies in the region that is a solution. Otherwise, it does not.
D. She could substitute 3 for x and - 4 for y in each inequality. If the point satisfies at least one inequality, it lies in the region that is a solution. Otherwise, it does not
3. Graph the solution of the following system.
y ≥5x - 1
x+y ≤ 2
Use the graphing tool to graph the system.
4. Graph the solution of the following system.
y ≥- 2x
y ≥ 4x + 3
Use the graphing tool to graph the system.
5. Graph the solution of the following system.
y ≥ 4x - 1
y≤ (5/6)x
Use the graphing tool to graph the system.
6. Graph the solution of the following system.
x - y ≥ 2 -5
-4x -y ≤ 1
Use the graphing tool to graph the system.
7. Graph the solution of the following system.
x + 3y < 15
y< 5
Use the graphing tool to graph the system.
8. Graph the solution of the following system.
y < -3
x > 4
Use the graphing tool to graph the system.
9. Graph the solution of the following system.
x-4y≥ -4
3x+y ≤ 6
Use the graphing tool to graph the system.
10. Graph the solution of the following system.
3x+ 7y < 21
3x+ 7y > -21
Use the graphing tool to graph the system.