System of Linear Inequalities Worksheet

Based on the graph above, where do you believe the solution to the system of inequalities is located?

Manipulate the sliders until both inequalities have the same slope and y-intercept. What happens? What is the solution to the system?

Now use the sliders until the inequalities are parallel. What is the solution to the system?

Now move the sliders until point A is at the intersection of the two inequalities. Would point A be included in the solution? Why or why not?

From the intersection, drag (trace) point A along the blue inequality. Would any point where you shaded on the blue line alone be included in the solution? Why or why not?