I was practicing some of the inequalities questions and saw a lot of you who are using graphical approach to solve inequlity are struggling with which region to shade(or which region is green/true) ..
i just checked this post by nach > quick-way-to-graph-inequalities-76255.html
and the way described there is awfully long.
i don't know how to add attachments so will be just writing and using the examples nach used.
take origin as reference .. point ... put it in the above inequality i.e. x=0 and y=0, it'll give you 0<3 which is true hence we'll shade the are which contains origin
take origin as reference and you'll get 0<-3 which is not true .. hence shade the area which does not contain origin .. its that simple ..
for graphical representation of above examples
if a line passes through origin, take 0,1 or 1,0 or -1,0 or 0,-1 as reference point which ever you feel will get you a result faster ..
Hope i helped someone
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