Graph and shade the points (if any) that satisfy the following system of linear inequalities. Then find the coordinates of all of the corner points: -5y < -10, 5x – 2y 2 6, 5x + 3y < 41 Which one of the following statements best describes your solution: A. There are no corner points, because there are no points that satisfy all of the inequalities. B. There are no corner points, because the shaded points constitute a single half-plane. C. There is exactly one corner point. D. There are exactly two corner points. E. There are exactly three corner points. F. There are exactly four corner points. G. There are exactly five corner points. H. There are more than five corner points. Statement: E - Part 2 Yes, that is correct. What are the corner points? Beginning with the corner point that is closest to the origin (or the origin if it is a corner point) and ther proceeding around the boundary in counter-clockwise order, enter the coordinates of the corner points: First corner: ( 2 ) Second corner: ( Third corner: (

Graph and shade the points (if any) that satisfy the following system of linear inequalities. Then find the coordinates of all of the corner points: -5y < -10, 5x – 2y 2 6, 5x + 3y < 41 Which one of the following statements best describes your solution: A. There are no corner points, because there are no points that satisfy all of the inequalities. B. There are no corner points, because the shaded points constitute a single half-plane. C. There is exactly one corner point. D. There are exactly two corner points. E. There are exactly three corner points. F. There are exactly four corner points. G. There are exactly five corner points. H. There are more than five corner points. Statement: E - Part 2 Yes, that is correct. What are the corner points? Beginning with the corner point that is closest to the origin (or the origin if it is a corner point) and ther proceeding around the boundary in counter-clockwise order, enter the coordinates of the corner points: First corner: ( 2 ) Second corner: ( Third corner: (

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Please explain how to graph the inequalities and find the corner points. Also, if a table is needed to plot any points or to graph the lines please explain how to do that

(i'm not sure if I need to plug in a specific value for x when trying to solve for y to make a table)

Part 1
Graph and shade the points (if any) that satisfy the following system of linear inequalities. Then find the coordinates of all of the corner points:
-5y <
-10,
5х — 2у 2
6,
5х + Зу <
41
Which one of the following statements best describes your solution:
A. There are no corner points, because there are no points that satisfy all of the inequalities.
B. There are no corner points, because the shaded points constitute a single half-plane.
C. There is exactly one corner point.
D. There are exactly two corner points.
E. There are exactly three corner points.
F. There are exactly four corner points.
G. There are exactly five corner points.
H. There are more than five corner points.
Statement:E
Part 2
Yes, that is correct. What are the corner points? Beginning with the corner point that is closest to the origin (or the origin if it is a corner point) and then
proceeding around the boundary in counter-clockwise order, enter the coordinates of the corner points:
First corner: ( 2
Second corner: (
Third corner: (
)

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