Question

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

4x - 18 ≥ 0

Answer 1

Consider the line whose equation is 4x - 18 ≥ 0 i.e. x = `18/4 = 9/2 = 4.5`

This represents a line parallel to Y-axis passing3through the point `(4.5, 0)`

Draw the line x = 4.5

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

When x = 0, 4x – 18 = 4 x 0 – 18 = – 18 > 0

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

∴ the solution set consists of the line x = 4.5 and the non-origin side of the line which is shaded in the graph.