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Question 36443: 4 points ( 2 for determining points and 2 for the graph)
Graph the following inequality and shade it.
4X + Y > 4 ( , ) ( , ) Please answer the question in words describing and not graphed.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! 4 points ( 2 for determining points and 2 for the graph)
Graph the following inequality and shade it.
4X + Y > 4 ( , ) ( , ) Please answer the question in words describing and not graphed.
First:
You need a dashed-line of the equation y=-4x+4
If x=0, Y=4 giving point (0,4)
If Y=0, X=1 fiving point (1,0)
Plot these points and draw a dashed-line through them
Second:
You need to determine if the solution to your inequality
is above the dashed-line or below it.
Pick a point not on the dashed line, for example (0,10)
Substitute those values into the inequality to see if
you get a true statement, as follows:
4(0)+10>4
That is true so that point is in the solution area of
the graph.
Try another point, e.g. (-3,2):
4(-3)+2>4
That is not true so that point is not in the solution
area of the graph.
Conclusion: The solution for your inequality is above
the dashed line. Shade that half-plane.
Cheers,
Stan H.
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