Question

Solve graphically : x – y ≤ 2 and x + 2y ≤ 8

Answer 1

First we draw the lines AB and CD whose equations are x –  y = 2 and x + 2y = 8 respectively.

Line	Equation	Points on the X-axis	Points on the Y-axis	Sign	Region
AB	x – y ≤ 2	A(2, 0)	B(0, –2)	≤	origin side of line AB
CD	x + 2y ≤ 8	C(8, 0)	D(0, 4)	≤	origin side of line CD

The solution set of the given system of inequalities is shaded in the graph.