Question

When comparing the graphs of y = x and y > x, what is a difference in the graphs?

Answer 1

The graph of a linear EQuality (like y=x) is a line. Every point on the line satisfies the equation.

The graph of a linear INEQuality (like y>x, or y<x, or y>2x-1, etc) is a 2-dimensional REGION of the coordinate plane, where every point inside that region satisfies that INEQuality. E.g., for y>x, the point (1,2) satisfies it, and so does (1, 3) and (1, 1.01), etc...

The linear inequality gives the "border" between that part of the coordinate plane that IS the solution region, and that part that is NOT the solution region.