The system of inequalities is shown on the graph is (d) 2x + y ≤ 5 and -x + y ≤ 3
Which system of inequalities is shown on the graph?
From the question, we have the following parameters that can be used in our computation:
The graph
Considering the list of options, we have the system of equations represented by the lines on the graph to be
2x + y = 5
-x + y = 3
Next, we consider the type of lines and the shaded regions
- Closed lines means that we use ≥ or ≤
- Dotted lines means that we use > or <
- Upper shaded region we use > or ≥
- Lower shaded region we use < or ≤
Using the above as a guide, we have the following:
The system of inequalities is shown on the graph is (d) 2x + y ≤ 5 and -x + y ≤3