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Step 1 :

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The two inequalities are $\"\"$ and $\"\"$ .

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1) Draw the coordinate plane.

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First inequality is $\"\"$ .

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Rewrite the inequality as $\"\"$ .

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2) Graph the line $\"\"$ .

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3) Since the inequality symbol is $\"\"$ , the boundary is included in the solution set.

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Graph the boundary of the inequality $\"\"$ with solid line.

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4) To determine which half plane to be shaded, use a test point in either half - plane.

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A simple chioce is $\"\"$ .

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Substitute $\"\"$ and $\"\"$ in original inequality.

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\"\"

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The statement is true.

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5) Since the statement is true , shade the region that contains the point $\"\"$ , shaded in fuchsia colour.

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The second inequality is $\"\"$ .

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Rewrite the inequality as $\"\"$ .

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6) Graph the line $\"\"$ .

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7) Since the inequality symbol is $\"\"$ , the boundary is included in the solution set.

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Graph the boundary of the inequality $\"\"$ with solid line.

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8) To determine which half plane to be shaded use a test point in either half- plane.

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A simple chioce is $\"\"$ .

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Substitute $\"\"$ and $\"\"$ in original inequality.

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\"\"

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The statement is false.

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9) Since the statement is false, shade the region that contains the point $\"\"$ , shaded in aqua colour.

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Graph :

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$\"\"$

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The solution of the system is the set of ordered pairs in the intersection of the graphs of $\"\"$ and $\"\"$ .This region is shaded in light purple color.

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