Consider the line whose equation is 2y – 5 = 0, i.e. y = 5/2
This represents a line parallel to X-axis passing through the point (0, 5/2)
Draw the line y = 5/2.
To find the solution set, we have to check the position of the origin (0, 0).
When y = 0, 2y – 5 = 2 × 0 – 5 = -5 ≱ 0
∴ the coordinates of the origin does not satisfy the given inequality.
∴ the solution set consists of the line y = 5/2 and the non-origin side of the line which is shaded in the graph.
