Half Planes and Linear Inequalities

Half Plane

• Half of the circle tangent to y-axis.

• A plane separated by a boundary line on the coordinate plane into two regions.

• Half of the equation that separate the whole equation into two equal parts of it.

• A line separate the coordinate plane into two regions.

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CCSS.HSA.REI.D.12

A set of two or more linear inequalities

• system of linear equations

• system of quadratic equations

• system of absolute value equations

• system of linear inequalities

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CCSS.8.EE.C.8B

What is the graph of linear inequalities in two variables?

• STRAIGHT LINE

• PARABOLA

• HALF-PLANE

• HALF OF A PARABOLA

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CCSS.HSA.REI.D.12

Which of the following is true about the graph ?

• The plane divider is a broken line and the shaded region is below the plane divider.

• The plane divider is a solid line and the shaded region is below the plane divider.

• The plane divider is a broken line and the shaded region is above the plane divider.

• The plane divider is a solid line and the shaded region is above the plane divider.

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CCSS.HSA.REI.D.12

What is the first step in graphing linear inequality?

• Graph the resulting equation with a solid line

• Replace the inequality symbol with an equal sign. The resulting equation becomes the plane divider.

• Choose three points in one of the half-planes that are not on the line.

• Shade the half-plane or the region on one side of the plane divider where these points lie.

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CCSS.HSA.REI.D.12

Which of the following illustrates a linear inequality in two variables?

Two regions created on a graph when separated by a boundary line

• Quadrant

• Half - Plane

• Sides

• Solution

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CCSS.HSA.REI.D.12

Which color is the solution region to this system of inequaliteis?

• White

• Blue

• Purple

• Red

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CCSS.HSA.REI.D.12

Which coordinate point is a solution to the system of inequalities?

• (o,o)

• (2,2)

• (1,-3)

• (4,-1)

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CCSS.HSA.REI.D.12

Inequality symbols that create an open half - plane and all points on the line are not included in the solution.

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CCSS.HSA.REI.D.12