Question

Solve graphically : x + y ≥ 6 and x + 2y ≤ 10

Answer 1

First, we draw the lines AB and CD, whose equations are x + y = 6 and x + 2y = 10, respectively.

Line	Equation	Points on the X-axis	Points on the Y-axis	Sign	Region
AB	x + y = 6	A(6, 0)	B(0, 6)	≥	non-origin side of line AB
CD	x + 2y = 10	D(10, 0)	D(0, 5)	≤	origin side of the line CD

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