Question

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

Answer 1

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

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

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