Question 1052464: I am struggling to answer this, I've used my school's textbook and other sites and still cannot understand.
Question:
Graph the linear inequality 4x+2y>4
Thank you.
Found 2 solutions by jim_thompson5910, josgarithmetic:
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! To graph  , we need to graph  first. So let's do that
To graph , we need 2 points. To get any point, we plug in a value for x then solve for y.
Let's plug in x = 0 and solve for y
 Replace x with 0
So when x = 0, the value of y is y = 2. We have the ordered pair (x,y) = (0,2)
Let's do another point. Let's plug in x = 1
When x = 1, the value of y is y = 0. So another point on this line is (x,y) = (1,0)
Plot the two points (0,2) and (1,0). Draw a straight line through those points. Make sure to extend that line as far as you can in both directions.
This is the boundary line of the shaded region. It will be a dashed (or dotted) line because there is no "or equal to" in the inequality sign. Any points on the boundary are NOT included in the solution set.
Now let's plug in a test point. (0,0) is probably the easiest to test.
 Replace x and y wih 0
The last inequality is FALSE. So the inequality is FALSE when (x,y) = (0,0). Therefore, the shaded region will NOT include the point (0,0). Ie, (0,0) is NOT in the shaded region. That means your shaded region is above the boundary line.
Here's what the final graph would look like. I've included the two points A = (0,2) and B = (1,0) as well. Notice how the boundary is a dashed/dotted line.
The shaded region is shown in light blue. Any points in the light blue shaded region will satisfy the inequality
Answer by josgarithmetic(39630) (Show Source):
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