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The constraints are

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Graph :

Graph the inequalities and shade the required region.

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Note : The shaded region is the set of solution points for the objective function.

Observe the graph.

The area of the Convex polygon $\"\"$ .

Area of $\"\"$ sq-units.

The area of the Convex polygon $\"\"$ .

The area of polygon is $\"\"$ sq-units.

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The area of polygon is $\"\"$ sq-units.