1) Graphing Linear Inequalities

• What linear inequality graphs look like…1) boundary line

(solid or dashed)

2) shaded area (above or below the boundary

line)

1) Graphing Linear Inequalities

Example 1:Graph the inequality y < 2x + 2

m = 2

y-int = 2

y <

SHADE BELOW the line

1) Graphing Linear Inequalities

Example 2:Write an inequality for the graph

below.y –int = -3

m = -3/2

inequality type >

y = mx + b

1) Graphing Linear Inequalities

Example 2:Write an inequality for the graph

below.y –int = -3

m = -3/2

inequality type >

Sub into y > mx + b y > -3x/2- 3

2) Absolute Value Inequalities

• Graph the absolute value function then shade above OR below

Solid line…y <, y>

Dashed line…y<, y>Shade above y>, y>

Shade below…y<, y<

2) Absolute Value Inequalities

Example 1:Graph y < |x – 2| + 3

DASHED line

Shade BELOW

slope = 1 Vertex = (2, 3)

2) Absolute Value Inequalities

Example 1:Graph y < |x – 2| + 3

DASHED line

Shade BELOW

slope = 1 Vertex = (2, 3)

2) Absolute Value Inequalities

Example 1:Graph y < |x – 2| + 3

DASHED line

Shade BELOW

slope = 1 Vertex = (2, 3)

2) Absolute Value Inequalities

Example 1:Graph y < |x – 2| + 3

DASHED line

Shade BELOW

slope = 1 Vertex = (2, 3)

2) Absolute Value Inequalities

y > 2|x + 2| + 1

Vertex = (-2, 1)Slope = 2Solid line

Shade above

2) Absolute Value Inequalities

y > 2|x + 2| + 1

2) Absolute Value Inequalities

y > 2|x + 2| + 1

2) Absolute Value Inequalities

y > 2|x + 2| + 1

2) Absolute Value Inequalities

Example 3:Write an equation for the graph below.