如图，一次函数$y = ax + b$的图象与反比例函数$y = \frac{k}{x}$的图象交于$A（4，m）$、$B（-2，n）$两点，求不等式$ax + b \leq \frac{k}{x}$的解集。---**Chart/Diagram Description:** * **Type:** Coordinate plane showing the graphs of a hyperbola and a straight line. * **Main Elements:** * **Coordinate Axes:** A standard Cartesian coordinate system with a horizontal x-axis and a vertical y-axis intersecting at the origin O. Arrows indicate the positive direction of the axes. Labels 'x' and 'y' are placed near the ends of the positive x and y axes, respectively. * **Origin:** Point O is labeled at the intersection of the x and y axes. * **Hyperbola:** A curved line consisting of two branches, one in the first quadrant and one in the third quadrant. This represents an inverse proportion function, likely of the form y = k/x for some constant k > 0. * **Straight Line:** A straight line passing through the second, first, and fourth quadrants. It intersects the hyperbola at two points, labeled A and B. It also intersects the x-axis at point C. * **Point A:** Located in the first quadrant, on both the hyperbola and the straight line. * **Point B:** Located in the second quadrant, on both the hyperbola and the straight line. * **Point C:** Located on the positive x-axis, where the straight line intersects the x-axis. * **Relative Position and Direction:** The straight line passes through points B, A, and C in that order from top-left to bottom-right. Point B is in the second quadrant. Point A is in the first quadrant. Point C is on the positive x-axis to the right of the origin O.