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 the difference between graphing a linear equation and a linear inequality?

What is the first step in graphing a linear inequality with a greater than or equal to symbol?

How do we represent solutions to the inequality y is greater than or equal to x plus 5 on a graph?

What does it mean when we say that y is greater than or equal to a certain value?

What is the significance of shading in the half-plane above the boundary line?

Explain how to show all possible solutions for the inequality y is greater than x minus 8.

How do we indicate a strict inequality on a graph?