Question

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

- 11x - 55 ≤ 0

Answer 1

Consider the line whose equation is - 11x - 55 ≤ 0 i.e. x = -5

This represents a line parallel to Y-axis passing through the point `(-5, 0)`

Draw the line x = - 5

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

When x = 0, - 11x - 55 = - 11(0) - 55 = - 55 > 0

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

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