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1. |
The graph of the system of inequalities is shown below. Name the coordinates of the vertices of the polygonal set. |
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A. |
(1, -1), (-1, 3), and (2, 1) |
B. |
(1, -4), (3, 0), and (0, 1) |
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C. |
(0, 0), (2, 0), and (2, 6) |
D. |
(-1, 1), (-1, 4), and (2, 1) |
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Hint |
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2. |
Find the maximum value of f(x, y) = 2x + y - 2 for the polygonal convex set determined by the system of inequalities. |
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A. |
18 |
B. |
6 |
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C. |
14 |
D. |
12 |
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Hint |
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3. |
Solve the system of inequalities by graphing.
x + y  4
2x - y < 4
y  0 |
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A. |
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B. |
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C. |
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D. |
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Hint |
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4. |
Name the coordinates of the vertices of the polygonal convex set. |
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A. |
(-4,-1), (-4,6), (-2,4), (4,-2) |
B. |
(-4,-1), (-4,3), (-2,4), (4,-2) |
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C. |
(-4,-1), (-4,3), (-2,-4), (4,-2) |
D. |
(-4,-1), (-4,3), (-2,4), (4,2) |
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Hint |
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5. |
Find the maximum value of f(x, y) =  x - 4y for the system of inequalities.
2x + y 3
2x + y -2
y 4
x < 1 |
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A. |
16 |
B. |
-16 |
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C. |
-17 |
D. |
-3 |
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Hint |
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