The question pertains to graphing inequalities, where a solid blue boundary line indicates that the line itself is included in the solution set. The direction of shading represents which half-plane contains the solution set.
The question provided suggests a context dealing with inequalities and graphing their solutions on a coordinate plane. When the solution includes a solid blue boundary line, this implies that the inequality is either ≤ (less than or equal to) or ≥ (greater than or equal to), and, therefore, the line itself is included in the solution set. If the solution set should be on the 'other side' of the blue line, that indicates that the inequality's solutions lie in the half-plane opposite to where they were likely graphed initially. When graphing such inequalities, one should always pay close attention to whether the line should be solid (indicating that points on the line satisfy the inequality) or dashed (indicating they do not), and in which direction the shading should occur (showing the area of all the points that satisfy the inequality).