Question 70979
You dont need to divide both sides by 3, you just need to get everything to one side
{{{7x > 3y}}}Start with given inequality
{{{7x-3y>0}}}Subtract 3y from both sides
To graph the inequality, we must graph the equations first.
{{{7x=3y}}}Change the inequality to an equation and solve for y
{{{y=(7/3)x}}}Now we can graph the equation
This equation is the boundary of our shaded region
{{{graph( 300, 200, -5, 5, -5, 5, 7x/3 )}}}
Now let x and y be any 2 numbers such as x=1 and y=1 and plug them into our inequality
{{{7(1)-3(1)>0}}}
{{{4>0}}}Since this is true we can shade the entire region around this point, 
which in this case, its anything below the line y=7/3x. 
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Note: Winplot (http://math.exeter.edu/rparris/winplot.html) allows you to graph inequalities and shade the correct regions.