Solve the system of inequalities by graphing.
4x+3y≤15
y≤1/4x –3
Select a line to change it between solid and dotted. Select a region to shade it.
To graph the system of inequalities, we first need to graph the lines corresponding to each inequality.
1. For the inequality 4x+3y≤15, we rearrange it to y ≤ -4/3x + 5. So the line will be y = -4/3x + 5. Let's graph this line with a dotted line.
2. For the inequality y ≤ 1/4x – 3, we rearrange it to y ≤ 1/4x -3. So the line will be y = 1/4x - 3. Let's graph this line with a solid line.
Now, we need to determine which region to shade. Since y is less than or equal to -4/3x + 5 and also less than or equal to 1/4x - 3, we need to shade the region that is below both lines.
I will provide the graph of these two lines and the shaded region. Let me know if you need further clarification.