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Sever21 [200]
3 years ago
12

The graph below shows the solution set to which system of inequalities?

Mathematics
1 answer:
melisa1 [442]3 years ago
3 0
We have that

using a graph tool
<span>I proceed to verify each case to get the answer
</span>see the attached figure

case A) 
y> 2x-4    y>=-x     y<=3

case B) 
y> 2x-4    y>=-x     y<3

case C) 
y< 2x-4    y>=-x     y<=3

the answer is the option A)
y> 2x-4    y>=-x     y<=3


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<h3>Answer:  D.   (5,15)</h3>

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Explanation:

As the graph shows, three of the four points are on the same line. That line being y = 5x. This line has slope 5 and y intercept 0.

The point not fitting this pattern is the point (5,15), so that is the final answer.

For the other three points, note that the jump from x to y coordinate is "times 5". For example, y = 5x = 5*2 = 10 for point A. In contrast, point D has a jump of "times 3" when going from x to y.

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Alternatively, you can divide each y coordinate by its corresponding x coordinate.

  • For choice A, we have y/x = 10/2 = 5
  • Choice B has y/x = 15/3 = 5
  • Choice C has y/x = 20/4 = 5

All results are 5 so far. Choice D doesn't follow the trend and instead has y/x = 15/5 = 3. This is another way to show that choice D is the answer.

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