Graphing Linear Inequlities

Graphing Linear Inequlities

Shading on a Coordinate Plane

Solid Lines:

• Solid lines indicate inclusion

• Greater Than/Equal to above the Line

• Lesser Than/Equal to below the line

Multiple Choice

What is the Equation of the Graph?

• y > 1x + 1

• y < 1x - 1

• y > -1x + 1

• y < -1x + 1

Dotted/Dashed Lines

• Dotted/Dashed Lines indicates not included

• Greater than shade above the line

• Less than shade below the line

Multiple Choice

What is the equation of the line?

• y > 3/2 x + 1

• y< -3/2 x +1

• y < -3/2 x + 1

• y > 3/2 x + 1

Intersection of Solution Sets

• Solutions to this system of linear equations

• Solutions to this system will only be in the area where the two shaded areas intersect.

• If an order pair lands on a line it would be included in the solution set only if the line is a solid line. If the order pair lands on the line that is dashed or dotted it would not be included in the solution set.

Multiple Select

Choose which ordered pairs fall in the solution set of this linear equation

• (1, 2)

• (3, -1)

• (3, -4)

• (4, 2)

No Solution

• When the inequalities do not intersect there is no solution to the linear system of equations.

Small Solution Set

• With the intersection of 3 linear inequalities it makes the solution set very small and narrow.