Question

Solve graphically : 2x + y ≥ 5 and x – y ≤ 1

Answer 1

First we draw the lines AB and CD whose equations are 2x + y = 5 and x – y = 1 respectively.

Line	Equation	Points on the X-axis	Points on the Y-axis	Sign	Region
AB	2x + y = 5	A(2.5, 0)	B(0, 5)	≥	non-origin side of line AB
CD	x – y = 1	C(1, 0)	D(0, –1)	≤	origin side of line CD

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