$\"\"$

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The system of inequalities are $\"\"$ , $\"\"$ and $\"\"$ . \ \

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Graph:

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Graph the inequalities $\"\"$ , $\"\"$ and $\"\"$ :

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$\"\"$

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Observe the graph:

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The coordinates are $\"\"$ and $\"\"$ .

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$\"\"$ \ \

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The equations are $\"\"$ and $\"\"$ .

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Solve the equations.

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$\"\"$ (First equation)

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$\"\"$ (Substitute $\"\"$ )

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$\"\"$ (Subtract $\"\"$ from each side)

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$\"\"$ (Apply additive inverse property: $\"\"$ )

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$\"\"$ (Divide each side by $\"\"$ )

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$\"\"$ (Cancel common terms)

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Check:

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Compare the coordinates to the coordinates on the graph.

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The $\"\"$ -coordinate of the third vertex is between $\"\"$ and $\"\"$ , So $\"\"$ is reasonable.

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The $\"\"$ -coordinate of the third vertex is between $\"\"$ and $\"\"$ , So $\"\"$ is reasonable.

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The vertices of the triangle are at $\"\"$ , $\"\"$ and $\"\"$ .

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$\"\"$

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Graph of the inequalities are $\"\"$ , $\"\"$ and $\"\"$ is

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$\"\"$

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The vertices of the triangle are at $\"\"$ , $\"\"$ and $\"\"$ .