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

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(N/A) $x+y \leq 6$ ..... $(1)$
$x+y \geq 4$ ..... $(2)$
The graph of the lines,$x+y=6$ and $x+y=4$,are drawn in the figure below.
Inequality $(1)$ represents the region below the line,$x+y=6$ (including the line $x+y=6$),and inequality $(2)$ represents the region above the line,$x+y=4$ (including the line $x+y=4$).
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 shown in the figure.

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