Question

Solve the following system of inequalities graphically.
x + y ≤ 9, y > x, x ≥ 0

Answer 1

To find graphical solution, construct the table as follows:

Inequation	Equation	Double Intercept form	Points (x, y)	Region
x + y ≤ 9	x + y = 9	`"x"/9 + "y"/9` = 1	A (9, 0), B (0, 9)	0 + 0 ≤ 9 ∴ 0 ≤ 9 ∴ origin side
y ≥ x	y = x	–	0 (0, 0), C (1, 1)	∴ 0 ≥ 0 ∴ origin side
x ≥ 0	x = 0	–		R.H.S. of Y-axis

Shaded portion represents the graphical solution.