Algebra-1

To explain why the correct linear inequality based on the graph is y ＞ -0.5x - 3, let's break down the key aspects of interpreting a graph of a linear inequality:

Understanding the Line:
The inequality y ＞ -0.5x - 3 involves a linear equation y = -0.5x - 3.
On the graph, this line would typically be drawn as a dashed line because the inequality is strict > rather than ≥, indicating that points on the line itself are not included in the solution set.

Identifying the Shaded Region:
In a graph of a linear inequality, the solution set is represented by a shaded region. For y ＞ ...