Question

Solve graphically : 2x + 3y≤ 6 and x + 4y ≥ 4

Answer 1

First we draw the lines AB and CD whose equations are 2x + 3y = 6 and x + 4y = 4 respectively.

Line	Equation	Points on the X-axis	Points on the Y-axis	Sign	Region
AB	2x + 3y = 6	A(3, 0)	B(0, 2)	≤	origin side of line AB
CD	x + 4y = 4	C(4, 0)	D(0. 1)	≥	non-origin side of line CD

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