This week we learned how to graph linear inequalities in two variables. A linear equation is a graph that splits into two sections. A linear inequality looks very similar to a linear equation, the difference between the two is that a linear equation has a “equals” symbol and a linear inequality is divided into 4 groups: greater than, greater than and/or equal to, less than, less than and/or equal to. When writing or understanding a graph of a linear inequality, she will shade in or color in the side where the linear inequality is true. A solid line represents _____ and/or equal to. A checkered line represents ____ than. To find the region that will satisfy the inequality we choose a point (0,0 would be easiest) on its appropriate side and plug it into the linear inequality. Then solve the linear inequality. If the inequality sign is true to the numbers then shade in the region, if not shade in the opposite region on the graph.
Below is an example of how to graphs such equations: