SOLUTION: Hi, my final question is : Graph and shade,2x>-6y. What I did was plug in 1 for x and y and I got an answer of 2>-6, which is true. Again thank you for your help

Algebra ->  Graphs -> SOLUTION: Hi, my final question is : Graph and shade,2x>-6y. What I did was plug in 1 for x and y and I got an answer of 2>-6, which is true. Again thank you for your help      Log On


   

Question 86566: Hi,
my final question is : Graph and shade,2x>-6y. What I did was plug in 1 for x and y and I got an answer of 2>-6, which is true. Again thank you for your help
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
First we need to graph the equation 2x=-6y (just replace the inequality sign with an equal sign)

%282x%29%2F-6=y Divide both sides by -6

y=%28-1%2F3%29x Reduce

So here's the graph of y=%28-1%2F3%29x

+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+%28-1%2F3%29x%29+

Now lets pick a test point, any will do. I'm going to use your test point (1,1). Now evaluate the test point with the inequality:

2%281%29%3E-6%281%29 Plug in x=1 and y=1 into the inequality

2%3E-6 Multiply

Since this inequality is true, we simply shade the region that contains (1,1):

note: since the inequality is a greater than sign, we do not include the boundary. So the red line should be a dashed line.
graph of the inequality 2x%3E-6y with the boundary in red and the shaded region in green. Notice the test point lies in the shaded region.