Algebra-1

To explain why y ≥ 0.5x - 2 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 ≥ 0.5x - 2:
The inequality represents a region on a coordinate plane.
The line y = 0.5x - 2 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 y = 0.5x - 2.

Identifying the Region y ≥ 0.5x - 2:
Since the inequality is ≥, we shade the region above the line y = 0.5x - 2. Meanwhile, the line shoul...