- Part 1 Consider the following system of inequalities: 2 2 y 3 2х — 5у < -26 1x + 5y < 47 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
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please show how to solve for the corner points and also show how to graph the lines to find the feasible region

### Part 1

**Consider the following system of inequalities:**

\[ 
\begin{cases} 
x \geq 2 \\ 
y \geq 3 \\ 
2x - 5y \leq -26 \\ 
x + 5y \leq 47 
\end{cases} 
\]

**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.**

*Answer:* [Input box for user to write the corner points]
Transcribed Image Text:### Part 1 **Consider the following system of inequalities:** \[ \begin{cases} x \geq 2 \\ y \geq 3 \\ 2x - 5y \leq -26 \\ x + 5y \leq 47 \end{cases} \] **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.** *Answer:* [Input box for user to write the corner points]
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