Write Systems of Linear Inequalities from a Graph
Read this topicExplanations 3
- Writing a System of Linear Inequalities from a Graph We can graph systems of inequalities to visualize the solutions. We can also look at a graph of a system and reverse enginee…
By Alex Federspiel, Sarah Walker, Jonathan Heller, Caroline K, Anusha Rahman
- When writing an inequality from a graph, there are a few things we need to do: Determine the equation of the line. This gives us the general form of our inequality once we remov…
By Hannah Bonville, Alex Federspiel, Sarah Walker, Jonathan Heller, Anusha Rahman, Caroline K
- (Video) Writing a System of Linear Inequalities from a Graph by Rick Faulk In this video by Rick Faulk, he goes over how to go from a graph to a system of linear inequalities. S…
By Anusha Rahman
Problems 20
- What system of linear inequalities represents this graph?
- Select all the inequalities in the system of inequalities graphed above.
- Determine the system of linear inequalities corresponding to the graph shown above.
- Select the system of linear inequalities that represents the graph shown above.
- Describe the graph of a "less than" inequality y<mx+by < mx+by<mx+b.
- Where is the solution set on the graph if the linear inequality is "greater than", i.e. "y>mx+by>mx+by>mx+b"?
- Where is the solution set on the graph if the linear inequality is "greater than or equal to", i.e. "y≥mx+by\geq mx+by≥mx+b"?
- Describe the graph of a "less than or equal to" inequality y≤mx+by \leq mx+by≤mx+b.
- A system of two linear inequalities is shown above. The solution region is shaded in purple. What are the two inequalities?
- Find a system of two linear inequalities represented by the purple region shown above.
- Find the system below whose graph is the purple starred region shown above.
- The common solution set of two linear inequalities is shown above as the purple starred region. What is the system?
- Two linear inequalities are graphed above. The common solution set is the purple region. What are the two inequalities in the system?
- Three linear inequalities are graphed above. Their common solution set is represented by the purple region. What are the three inequalities in the system?
- The graph of a system of linear inequalities is shown above. What is the description of the solution set?
- The graph of a system of linear inequalities is shown above. What is the description of the solution set?
- The graph of a system of linear inequalities is shown above. What is the description of the solution set?
- The graph of a system of linear inequalities is shown above. What is the description of the solution set?
- The graph of a system of linear inequalities is shown above. What is the description of the solution set?
- Above is the graph of an inequality. If the boundary line is y=x+2y = x+2y=x+2 and dotted, which inequality would have this graph?