Solution Of System Of Linear Inequalities In Two Variables

The inequality is based on the line , which serves as the boundary dividing the plane into two regions.

Since the inequality is "<" (not "≤"), the line itself is not included in the solution set. This means the boundary is not solid, and the region is open.

Choose a simple point to test which side of the boundary is included. Let’s use the origin :

• is true.

So the region includes the origin.

The inequality represents the region below the line , excluding the line itself. Since the origin is included, we conclude:

Final Answer: The solution set is an open half-plane containing the origin.