Consider the following system of inequalities: x + y 2 100 4у — 2х < -500 у — 5х > -1700 How many corner points does the system have? 3 - Part 2 Write all corner points in the space provided below. If there are multiple corner points, write each ordered pair seperated by a comma.

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 explain how to graph the lines and solve for the corner points 

(please include an explanation of how to make a table if that is whats needed to solve them problem) 

### Part 1

Consider the following system of inequalities:

\[
\begin{align*}
x + y & \geq 100 \\
4y - 2x & \leq -500 \\
y - 5x & \geq -1700 \\
\end{align*}
\]

How many corner points does the system have?

**Answer:** 3

---

### Part 2

Write all corner points in the space provided below. If there are multiple corner points, write each ordered pair separated by a comma.
Transcribed Image Text:### Part 1 Consider the following system of inequalities: \[ \begin{align*} x + y & \geq 100 \\ 4y - 2x & \leq -500 \\ y - 5x & \geq -1700 \\ \end{align*} \] How many corner points does the system have? **Answer:** 3 --- ### Part 2 Write all corner points in the space provided below. If there are multiple corner points, write each ordered pair separated by a comma.
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