The graph of the solution of the system of inequaities is the graph (b)
Which graph is the solution of the system of inequaities
From the question, we have the following parameters that can be used in our computation:
x + 2y < 16
4x + y > 6
Make y the subject in both inequaities
So, we have
2y < -x + 16
y < -x/2 + 8
4x + y > 6
y > -4x + 6
This means that
- Both inequalities have a negative slope
- Since they use > and <, then the lines are dotted lines
- Since they use > and <, then the shaded region is between them
Using the above as a guide, we have the following:
the solution of the system of inequaities is the graph (b)