Question

Solve the following system of inequalities graphically.
x ≥ 3, y ≥ 2

Answer 1

To find a graphical solution, construct the table as follows:

Inequation	Equation	Double Intercept form	Points (x, y)	Region
x ≥ 3	x = 3	–	–	0 `≱ `3 ∴ R.H.S. of line x = 3
y ≥ 2	y = 2	–	–	0 `≱ `2 ∴ above the line y = 2

The shaded portion represents the graphical solution.