By drawing suitable lines and shading unwanted regions, find the region, $$\(R\)$$, where $$\[ x \geqslant 2, \quad y \geqslant x \text { and } 2 x+y \leqslant 8 . \]$$

E2.6 Represent inequalities graphically and use this representation to solve simple linear programming problems. (The conventions of using broken lines for strict inequalities and shading unwanted regions will be expected.)