Algebra-1

To understand why the correct linear inequality based on the graph is y ≤ 0.46x + 1, let's break down the elements involved:

Identifying the Line:
The inequality involves a line with the equation y = 0.46x + 1.

Interpreting the Inequality y ≤ 0.46x + 1:
The inequality symbol ≤ indicates that y can be less than or equal to the values on the line y = 0.46x + 1.
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 li...