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.
Recommended
