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The set of all solutions of the system

 

x + y <= 4

2x + y >= 5

x >= 0

y >= 0

 

is a quadrilateral region. Find the number of units in the length of the longest side. Express your answer in simplest radical form.

 Nov 5, 2020
 #1
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The set of all solutions of the system

 

Hello Guest!

 

1)

\(1)\\ y <= 4\\ 2x + y >= 5\\ 2)\ x >= 0\\ 3)\ y >= 0 \)

 

1)

\(x + y \le 4 \)             \(1+3\le4\)

\(2x+y\ge 5\)           \(2\cdot1+3\ge 5\)

\(y=4-x\\ y=5-2x\\ 4-x=5-2x\\ 2x-x=5-4\)

\(x=1\\ y=3\)

 

2)

\(x \ge 0 \)

\(x\in| \mathbb {Q}|\)

 

3)

\(y\ge 0 \)

\(y\in| \mathbb {Q}|\)

laugh  !

 Nov 6, 2020
edited by asinus  Nov 6, 2020

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