Algebra-1

To explain why y ≥ 6x − 3 is the correct linear inequality based on a graph, let's break down the components of the inequality and how they relate to the graph:

Understanding the Inequality y ≥ 6x − 3y:
The inequality represents a region on a coordinate plane.
The line y = 6x − 3 is the boundary of this region.
The symbol ≥ means that we are interested in the area above or on the line because y values are either equal to or greater than 6x−3.

Identifying the Region y ≥ 6x − 3:
Since the inequality is ≥, we shade the region above the line y = 6x − 3. Meanwhile, the line should be a solid one instead of a dashe...