Question

Solve each of the following inequations graphically using XY-plane:

5y - 12 ≥ 0

Answer 1

Consider the line whose equation is 5y - 12 ≥ 0 i.e. y = `12/5`

This represents a line parallel to X-axis passing3through the point `(0, 12/5)`

Draw the line y = `12/5`

To find the solution set, we have to check the position of the origin (0, 0).

When y = 0,  5y - 12 = 5(0) - 12 = - 12 > 0

∴ the coordinates of the origin does not satisfy the given inequality.

∴ the solution set consists of the line y = `12/5` and the non-origin side of the line which is shaded in the graph.