Graphing Linear Inequalities with Greater Than or Greater Than or Equal to Symbols

The video tutorial explains how to graph linear inequalities with greater than or greater than or equal to symbols. It covers graphing equations like y = x + 5, y ≥ x + 5, y > x - 8, and y > -3x. The tutorial highlights the differences between graphing equations and inequalities, such as using solid or dotted lines and shading regions to represent solutions. It emphasizes understanding the boundary lines and the half-plane regions that represent all possible solutions to the inequalities.

What is a common misunderstanding when graphing solutions to inequalities?

• That inequalities have no solutions

• That the line represents all solutions

• That inequalities are the same as equations

• That solutions are only below the line

How do you represent the solutions for y ≥ x + 5 on a graph?

• By shading above the line

• By using a dotted line

• By plotting only the points

• By shading below the line

What type of line is used to graph y > x - 8?

• Solid line

• Dotted line

• No line

• Dashed line

When graphing y > x - 8, what does the shaded region represent?

• All possible solutions below the line

• All possible solutions above the line

• No solutions

• Only the points on the line

For the inequality y > -3x, what does the dotted line indicate?

• The line is the only solution

• The line is part of the solution

• The line is below the solution

• The line is not part of the solution

What is the main difference between strict and non-strict inequalities in graphing?

• Strict inequalities use a dotted line

• Non-strict inequalities use a dotted line

• Non-strict inequalities have no line

• Strict inequalities use a solid line

How do you show all possible solutions for y > -3x on a graph?

• Shade the region below the line

• Shade only the line

• Shade the region above the line

• Do not shade any region