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

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) (Show Source): You can put this solution on YOUR website!
First we need to graph the equation (just replace the inequality sign with an equal sign)

Divide both sides by -6

Reduce

So here's the graph of

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:

Plug in x=1 and y=1 into the inequality

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 with the boundary in red and the shaded region in green. Notice the test point lies in the shaded region.
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