Question 1201720
<pre>
Shade the region defined by this inequality :4y+3x>12 
                             
4y+3x>12                     
y+3x>12/4                      
y<3-3x                                
                             
So , I draw y=3-3x and  shade the region below the line . The answer on my book is drawn with the area shaded in the upper region .   

I chose a point : (0,4) and did substitution : y<3-3x
                                                4<3  ---which is an incorrect statement   
Since this point is present in the upper region I shaded the opposite region (below the line ) since the statement is wrong . 

So , why is the region shaded in the upper part ? please . 

First and foremost, why did you divide ONLY the 4y and 12 by 4. What happened to the 3x? Is it not supposed to
be divided by 4 as well?</pre>