Question
Show the solution set of inequations 4x – 5y ≤ 20 graphically

Answer

Given inequality 4x – 5y ≤ 20
Corresponding equality 4x – 5y = 20
Intersection of line with X-axis A(5, 0)
Intersection of line with Y-axis B(0, – 4)
Origin test 4(0) – 5(0) ≤ 20
i.e., 0 ≤ 20
which is true
Region Origin side of the line

The shaded portion represents the graphical solution.

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