Question

Solve the following inequation graphically in the two-dimensional plane.
x ≤ – 4

Answer 1

Given, inequation is x ≤ – 4
∴ Given, inequation is x = – 4
It is the equation of the line passing through (– 4, 0)
Origin test:
Substituting x = 0 in inequation, we get
0 ≤ – 4 which is false.
∴ Points on the origin side of the line do not satisfy the inequation.
So the points on the non-origin side of the line and points on the line satisfy the inequation
∴ all the points on the line and left of it satisfy the given inequation.
The shaded portion represents the solution set.