Consider the line whose equation is 5y + 3 = 0,
i.e. y = -3/5
This represents a line parallel to X-axis passing through the point (0, -3/5)
Draw the line y = -3/5.
To find the solution set, we have to check the position of the origin (0, 0).
When y = 0, 5y + 3 = 5 × 0 + 3 = 3 ≰ 0
∴ the coordinates of the origin does not satisfy the given inequality.
∴ the solution set consists of the line y = -3/5 and the non-origin side of the line which is shaded in the graph.
