Algebra-1

To explain why "y < -0.5x + 18" is the right linear inequality based on a graph, let's go through the key elements that you should consider when analyzing the graph and matching it to the inequality:

Understanding the Inequality:
The inequality "y < -0.5x + 18" represents all the points (x, y) below the line defined by the equation y = -0.5x + 18. The inequality uses "<", indicating that the solution set includes the region below the line, not on the line itself.

Shading Below the Line:
For the inequality "y < -0.5x + 18" the correct graph should have the region below the line shaded. The shading shows the set of points where the y-values are less than those on the line for corresponding x-values.