Consider the line whose equation is 2x – 3 = 0, i.e. x = 3/2
This represents a line parallel to Y-axis passing through the point (3/2, 0)
Draw the line x = 3/2
To find the solution set, we have to check the position of the origin (0, 0).
When x = 0, 2x – 3 = 2 × 0 – 3 = -3 ≱ 0
∴ the coordinates of the origin does not satisfy the given inequality.
∴ the solution set consists of the line x = 3/2 and the non-origin side of the line which is shaded in the graph.