SOLUTION: Problems 16 and 28 ask you to graph the given inequality. 16) 4x + y &#8805; 4

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Question 88524: Problems 16 and 28 ask you to graph the given inequality.
16) 4x + y ≥ 4

Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website!
In order to graph , we need to graph the equation (just replace the inequality sign with an equal sign).
So lets graph the line (note: if you need help with graphing, check out this solver )

graph of
Now lets pick a test point, say (0,0). Any point will work, (just make sure the point doesn't lie on the line) but this point is the easiest to work with. Now evaluate the inequality with the test point

Substitute (0,0) into the inequality
Plug in and
Simplify

Since this inequality is not true, we do not shade the entire region that contains (0,0). So this means we shade the region that is on the opposite side of the line
Graph of with the boundary (which is the line in red) and the shaded region (in green)

SOLUTION: Problems 16 and 28 ask you to graph the given inequality. 16) 4x + y &#8805; 4

SOLUTION: Problems 16 and 28 ask you to graph the given inequality. 16) 4x + y ≥ 4