Final answer:
Linear inequalities in two variables represent a relationship between two variables using inequality symbols such as <, >, <=, or >=. The solution set is a region on a coordinate plane that contains all the points satisfying the inequality. To graph the solution set, plot the boundary line and shade the appropriate region.
Step-by-step explanation:
Linear inequalities in two variables represent a relationship between two variables using inequality symbols such as <, >, <=, or >=.
These inequalities define a region on a coordinate plane called the solution set, which contains all the points that satisfy the inequality.
To graph the solution set, you can plot the boundary line for the inequality as a solid or dashed line, and then shade the appropriate region depending on the inequality sign.
For example, let's graph the inequality y > 2x - 1. Start by graphing the boundary line y = 2x - 1 as a dashed line. Then, shade the region above the line since the inequality is greater than. The shaded region represents the solution set.