Solve the following system of inequalities graphically: $2x + y \geq 4$,$x + y \leq 3$,$2x - 3y \leq 6$.

(N/A) $2x + y \geq 4$ ...... $(1)$
$x + y \leq 3$ ...... $(2)$
$2x - 3y \leq 6$ ...... $(3)$
The graph of the lines $2x + y = 4$,$x + y = 3$,and $2x - 3y = 6$ are drawn in the figure.
Inequality $(1)$ represents the region above the line $2x + y = 4$ (including the line).
Inequality $(2)$ represents the region below the line $x + y = 3$ (including the line).
Inequality $(3)$ represents the region above the line $2x - 3y = 6$ (including the line).
Hence,the solution of the given system of linear inequalities is represented by the common shaded triangular region in the graph,including the points on the respective boundary lines.