SOLUTION: I am trying to graph the inequality {{{ y > x/3 }}}. I dont understand how to simplify the inequality towards where I can graph it.

Algebra ->  Graphs -> SOLUTION: I am trying to graph the inequality {{{ y > x/3 }}}. I dont understand how to simplify the inequality towards where I can graph it.      Log On


   

Question 151858: I am trying to graph the inequality +y+%3E+x%2F3+. I dont understand how to simplify the inequality towards where I can graph it.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
First, graph the line y=x%2F3. Note: the equation is the same as y=%281%2F3%29x


Graph of y=x%2F3


Now let's pick a test point (that's not on the line), say (0,1) and plug it into the inequality y%3Ex%2F3


y%3Ex%2F3 Start with the given inequality.


1%3E0%2F3 Plug in x=0 and y=1


1%3E0 Simplify


Since the inequality is true, this means that we shade the entire region that the point (0,1) is in. So we simply shade everything above the line y=x%2F3 like this:

Graph of y%3Ex%2F3 with the shaded region in green