anonymous
  • anonymous
The graph below represents which system of inequalities? y > 2x - 3 y > -x - 3 y < 2x - 2 y < -x + 3 y 2x - 2 y > -x + 3 None of the above
English
  • Stacey Warren - Expert brainly.com
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SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
katieb
  • katieb
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anonymous
  • anonymous
attach the graph
rosedewittbukater
  • rosedewittbukater
You need to post the graph for us to help.
anonymous
  • anonymous
^

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anonymous
  • anonymous
sorry, i was going to but got distracted
rosedewittbukater
  • rosedewittbukater
Well the y intercept (where the line crosses the vertical axis) of the dash line is 3. A solid line means the sign is \[\le or \ge \] For the first line, it has to be y > mx + 3 or y < mx + 3. To find the slope m, find 2 points of the line. We can use (0, 3) and (1, 2). Subtract the first y from the second y and divide that by the first x subtracted from the second x. So 2-3/1-0. That makes -1. So the slope is -1. To find what the sign will be, replace all of the variables with 0. We'll use the = sign for now. y = -1x + 3 0 = -1(0) + 3 0 = 3 Since 0 is less than three, the sign is < The final equation for the dashed line is y < -x + 3 Can you find the equation for the solid line?
anonymous
  • anonymous
well i think its C
rosedewittbukater
  • rosedewittbukater
C has y > -x + 3. If you change the x and y to zero, you get 0 > 3. Is zero greater than 3?
anonymous
  • anonymous
no
anonymous
  • anonymous
....
rosedewittbukater
  • rosedewittbukater
So it should be B
anonymous
  • anonymous
no its not B
anonymous
  • anonymous
@rosedewittbukater
rosedewittbukater
  • rosedewittbukater
Why do you think that?
rosedewittbukater
  • rosedewittbukater
The y intercept for the solid line is -2 and the slope is 2, meaning each point is 2 units up and 1 unit to the right of the point before it. y = 2x - 2 0 = -2 Zero is greater than negative 2, so the equation is y > 2x - 2 However, this is when the shading comes into play, which I forgot to mention before. We assume that the yellow shading is for the solid line only, and the green shading is where the shaded area of both of the lines overlap. Since the shading for the solid line is on the side that does not include the 0, the equation must be changed to y < 2x -2. As for the dashed line y < -x + 3 0 = 3 Since the shaded part is on the side of the line not including the 0, we switch the sign. The equation becomes y > -x +3. Sorry for my mistake earlier, I forgot that the picture included shading. So the answer is C.
rosedewittbukater
  • rosedewittbukater
By the way, this is the english section for questions. This should be in math.

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