Question 1182458
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Let's plug in x = -5 and see what happens
y > -5x+4
y > -5(-5)+4
y > 25+4
y > 29
So if x = -5, then the y value is something larger than 29. 
But that clashes with the y coordinate of choice A since we have y = 2 here.


Put another way, let's plug in the x,y coordinates of point A to find that...
y > -5x+4
2 > -5(-5)+4
2 > 25+4
2 > 29
and the contradiction is probably more clear by this point. We have a false statement at the end, so the original inequality is false when (x,y) = (-5,2). Choice A is ruled out as an answer.


Choice B is a similar story as choice A, so we rule that out as well.


Let's try choice C to find out what happens
y > -5x+4
6 > -5(8)+4
6 > -40+4
6 > -36
we get a true statement this time, so choice C is a solution. You should find choices D and E are also solutions.


Graph of y > -5x+4
<img width = "25%" src = "https://i.imgur.com/QPHmNLR.png">
The solution points are in the blue shaded region. If a point is on the boundary, then it is NOT a solution. The dashed boundary line is y = -5x+4 and it goes through (0,4) and (2,-6)


Check out this similar problem
<a href = "https://www.algebra.com/algebra/homework/expressions/expressions.faq.question.1182457.html">https://www.algebra.com/algebra/homework/expressions/expressions.faq.question.1182457.html</a>
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