solve the system of two linear inequalities graphically. 6x+6y<54 x>=6 find the region with points that satisfy both inequalities select the region you wish to be shaded A, B, C or d
To solve the system of inequalities graphically, we will first graph each inequality separately and then find the overlapping region.
1) 6x + 6y < 54:
To graph this inequality, we need to rearrange it into the form "y < ..." by isolating y.
6x + 6y < 54
6y < 54 - 6x
y < 9 - x
Now, we graph the line y = 9 - x with a dashed line because it is less than (not equal to) and shade below the line.
(Insert graph of the line y = 9 - x, with shading below the line)
2) x >= 6:
To graph this inequality, it is simply a vertical line passing through x = 6 with a solid line since it is equal to (not less than).
(Insert graph of the line x = 6)
Now, we combine both graphs and shade the overlapping region.
(Insert graph showcasing the overlapping region shaded)