A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 3 years ago
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
anonymous
 3 years ago
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

This Question is Closed

rosedewittbukater
 3 years ago
Best ResponseYou've already chosen the best response.0You need to post the graph for us to help.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0sorry, i was going to but got distracted

rosedewittbukater
 3 years ago
Best ResponseYou've already chosen the best response.0Well 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 23/10. 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?

rosedewittbukater
 3 years ago
Best ResponseYou've already chosen the best response.0C has y > x + 3. If you change the x and y to zero, you get 0 > 3. Is zero greater than 3?

rosedewittbukater
 3 years ago
Best ResponseYou've already chosen the best response.0So it should be B

rosedewittbukater
 3 years ago
Best ResponseYou've already chosen the best response.0Why do you think that?

rosedewittbukater
 3 years ago
Best ResponseYou've already chosen the best response.0The 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
 3 years ago
Best ResponseYou've already chosen the best response.0By the way, this is the english section for questions. This should be in math.
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.