Algebra-1

To understand why the correct linear inequality based on the graph is y ≤ 6.66x + 7.11, let's break down the elements involved:

Identifying the Line:
The inequality involves a line with the equation y = 6.66x + 7.11.

Interpreting the Inequality y ≤ 6.66x + 7.11:
The inequality symbol ≤ indicates that y can be less than or equal to the values on the line y = 6.66x + 7.11.
Graphically, this means the region of interest is the area below the line, including the line itself. So it must be a solid line instead of a dashed line.

Shaded Region:
In the graph, if the area below the line y = ...