Question

Solve graphically: 2x – 3 ≥ 0

Answer 1

Consider the line whose equation is 2x – 3 ≥ 0, i.e. x = `3/2`

This represents a line parallel to Y-axis passing through the point `(3/2, 0)`.

Draw the line x = `3/2`.

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

When x = 0, 2x – 3 = 2 × 0 – 3 = – 3 `cancel>=` 0

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

∴ The solution set consists of the line x = `3/2` and the non-origin side of the line which is shaded in the graph.