Expert: Ahmed Salami - 11/15/2008

Question
Sir
I am very confused that how to shade graph of inequalities?In my book the shaded part is a region but I dont know from where this region is drawn?I mean do i have to draw lines parallel to axes? Like i want to draw and shade the graph of   x - 2y < = 6(less than or equal to both)?Kindly guide me.Thanks

Answer
Hi Aliya,
A straight line divides the coordinate system into two regions, one of them satisfying a particular inequality.
Shading a region is just a way of differentiating it from the other region, there is no particular way of shading, just shade!
For x - 2y <= 6
x - 6 <= 2y
or simply
y >= (x-6)/2
y >= x/2 - 3
This is represented by the region above the line y = x/2 - 3

Regards.