Consider the line whose equation is 3x + 4 = 0,
i.e. x = -4/3
This represents a line parallel to Y-axis passing through the point (-4/3, 0).
Draw the line x = -4/3.
To find the solution set, we have to check the position of the origin (0, 0).
When x = 0, 3x + 4 = 3 × 0 + 4= 4 ≰ 0
∴ the coordinates of the origin does not satisfy the given inequality.
∴ the solution set consists of the line x = -4/3
and the non-origin side of the line which is shaded in the graph.
