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Step 1:

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Observe the graph, is a solid line.

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To determine which symbol to be used to write the linear inequality, take a test point in either half- plane.

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A simple choice is .

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Substitute in .

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Since the line is solid line, take the the inequality symbol as .

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Thus, the linear inequality is .

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Step 2 :

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Observe the graph, is a solid line.

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To determine which symbol to be used to write the linear inequality, take a test point in either half- plane.

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A simple chioce is .

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Substitute in .

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Since the line is solid line, take the the inequality symbol as .

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Thus, the linear inequality is .

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Step 3:

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Find the solid line passing through the points and .

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Let the points be and .

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Line equation passing through two points is .

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Substitute the points and in above equation.

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To determine which symbol to be used to write the linear inequality, take a test point in either half- plane.

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A simple chioce is .

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Substitute and in the line equation .

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Since the line is solid line, take the the inequality symbol as .

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Thus, the linear inequality is .

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Step 4 :

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Find the solid line passing through the points and .

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Let the points be and .

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Line equation passing through two points is .

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Substitute the points and in above equation.

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To determine which symbol to be used to write the linear inequality, take a test point in either half- plane.

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A simple chioce is .

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Substitute and in the line equation .

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Since the line is solid line, take the the inequality symbol as .

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Thus, the linear inequality is .

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Step 5 :

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Observe the graph, take all values of x, whom greater than equals to zero.

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Thus, the linear inequality is .

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Step 6 :

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The system of linear inequalities for the given graph is .

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