SOLUTION: I am working on a test review sheet from my professor and having trouble with one of the problems. We are studying inequalities in 2 variables and graphing. Here is the problem..

Question 70979: I am working on a test review sheet from my professor and having trouble with one of the problems. We are studying inequalities in 2 variables and graphing. Here is the problem...Graph 7x > 3y. I have tried dividing both sides by 3 and adding -3y to both sides, but I must be in the middle of a brain fog and can not figure it out. Any help would be GREATLY appreciated.
Thanks,
Yvonne
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
You dont need to divide both sides by 3, you just need to get everything to one side
Start with given inequality
Subtract 3y from both sides
To graph the inequality, we must graph the equations first.
Change the inequality to an equation and solve for y
Now we can graph the equation
This equation is the boundary of our shaded region

Now let x and y be any 2 numbers such as x=1 and y=1 and plug them into our inequality

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.

Note: Winplot (http://math.exeter.edu/rparris/winplot.html) allows you to graph inequalities and shade the correct regions.

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