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: 11x – 11y < 33, x+ 8y < 39, 12x – 3y -27 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.
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: 11x – 11y < 33, x+ 8y < 39, 12x – 3y -27 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.
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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please show how to solve for the corner points and how to find the feasible region when graphing the inequalities or equations. If elimination is used to solve for the corner points please show that as well.
Transcribed Image Text: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:
11x – 11y < 33,
х+ 8y < 39,
12х — Зу 2 -27
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:
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