Question:
Solve the following system of inequalities graphically: 2x + y≥ 8, x + 2y ≥ 10
Solution:
$2 x+y=8 \ldots(1)$
$x+2 y=10 \ldots(2)$
The graph of the lines, $2 x+y=8$ and $x+2 y=10$, are drawn in the figure below.
Inequality (1) represents the region above the line, $2 x+y=8$, and inequality ( 2 ) represents the region above the line, $x+2 y=10$
Hence, the solution of the given system of linear inequalities is represented by the common shaded region including the points on the respective lines as follows.
