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.
+14985 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)
\(y\ge 0 \)
\(y\in| \mathbb {Q}|\)
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