Question

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

y ≤ - 3.5

Answer 1

Consider the line whose equation is y ≤ - 3.5 i.e. y = - 3.5

This represents a line parallel to X-axis passing3through 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).

∴ 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.