Which system of inequations a shaded region represents

1. A.
   $x+2y \geq 50,\; 2x+y \leq 100,\; 2x-y \leq 0,\; x,y \geq 0$
2. B.
   $x+2y \leq 50,\; 2x+y \leq 100,\; 2x-y \leq 0,\; x,y \geq 0$
3. C.
   $x+2y \geq 50,\; 2x+y \geq 100,\; 2x-y \leq 0,\; x,y \geq 0$
4. D.
   $x+2y \leq 50,\; 2x+y \geq 100,\; 2x-y \leq 0,\; x,y \geq 0$

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1. A.
   $x\geq1,\ y\leq3,\ x-2y\geq2,\ 6x+7y\leq42,\ x\geq0,\ y\geq0$
2. B.
   $x\geq1,\ y\leq3,\ x-2y\geq2,\ 6x+7y\geq42,\ x\geq0,\ y\geq0$
3. C.
   $x\leq1,\ y\geq3,\ x-2y\leq2,\ 6x+7y\leq42,\ x\geq0,\ y\geq0$
4. D.
   $x\geq1,\ y\leq3,\ x-2y\leq2,\ 6x+7y\leq42,\ x\geq0,\ y\geq0$

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1. A.
   $x+2y\leq6,\;5x+3y\geq15,\;x\leq7,\;y\leq6,\;x,y\geq0$
2. B.
   $x+2y\geq6,\;5x+3y\geq15,\;x\leq7,\;y\leq6,\;x,y\geq0$
3. C.
   $x+2y\geq6,\;5x+3y\leq15,\;x\geq7,\;y\leq6,\;x,y\geq0$
4. D.
   $x+2y\leq6,\;5x+3y\leq15,\;x\leq7,\;y\geq6,\;x,y\geq0$

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1. A.
   $3x+8y\leq24,\;4x+5y\leq20,\;5x+3y\geq15,\;x\geq0,y\geq0$
2. B.
   $3x+8y\geq24,\;4x+5y\geq20,\;5x+3y\leq15,\;x\geq0,y\geq0$
3. C.
   $3x+8y\leq24,\;4x+5y\geq20,\;5x+3y\geq15,\;x\geq0,y\geq0$
4. D.
   $3x+8y\geq24,\;4x+5y\leq20,\;5x+3y\leq15,\;x\geq0,y\geq0$

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1. A.
   $x-y \leq 0,\,-x+3y \leq 3,\,x \geq 0,\,y \geq 0$
2. B.
   $x-y \geq 0,\,-x+3y \geq 3,\,x \geq 0,\,y \geq 0$
3. C.
   $x-y \geq 0,\,-x+3y \leq 3,\,x \geq 0,\,y \geq 0$
4. D.
   $x-y \leq 0,\,-x+3y = 3,\,x \geq 0,\,y \geq 0$

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1. A.
   $3x+4y\geq12,\; y-x\geq0,\; y\leq3,\; x,y\geq0$
2. B.
   $3x+4y\leq12,\; y-x\leq0,\; y\geq3,\; x,y\geq0$
3. C.
   $3x+4y\leq12,\; y-x\geq0,\; y\leq3,\; x,y\geq0$
4. D.
   $3x+4y\geq12,\; y-x\leq0,\; y\geq3,\; x,y\geq0$

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1. A.
   $2x+y \leq 2,\; x-y \leq 1,\; x+2y \leq 8$
2. B.
   $2x+y \geq 2,\; x-y \leq 1,\; x+2y \leq 8$
3. C.
   $2x+y \geq 2,\; x-y \geq 1,\; x+2y \leq 8$
4. D.
   $2x+y \geq 2,\; x-y \geq 1,\; x+2y \geq 8$

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1. A.
   $2x+3y\geq6,\,-x+2y\geq2,\,3x+6y\leq18,\,x-3y\geq3,\,x\geq0,y\geq0$
2. B.
   $2x+3y\geq6,\,-x+2y\leq2,\,x-3y\leq3,\,x+2y\geq18,\,x\geq0,y\geq0$
3. C.
   $2x+3y\leq6,\,-x+2y\geq2,\,3x+6y\leq18,\,x-3y\leq3,\,x\geq0,y\geq0$
4. D.
   $2x+3y\geq6,\,3x+6y\leq18,\,x-3y\leq3,\,-x+2y\leq2,\,x\geq0,y\geq0$

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1. A.
   $x - y \geq 0,x + y \geq 0$
2. B.
   $x - y \leq 0,x + y \geq 0$
3. C.
   $x - y \geq 0,x + y \leq 0$
4. D.
   $x - y \leq 0,x + y \leq 0$

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1. A.
   $y-x\ge1,\ x+5y\le10,\ x+y\ge2,\ x,y\ge0$
2. B.
   $y-x\le1,\ 2x+5y\le10,\ x+y\ge1,\ x,y\ge0$
3. C.
   $y-x\ge1,\ 2x+5y\le10,\ x+y\ge1,\ x,y\ge0$
4. D.
   $x-y\le1,\ 2x+5y\ge10,\ x+y\le1,\ x,y\ge0$

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1. A.
   $2x + y \le 12, x + 2y \le 12, x + 1.25y \ge 5, x \le 0, y \ge 0$
2. B.
   $2x + y \le 12, x + 2y \le 12, x + 1.25y \ge 5, x \ge 0, y \le 0$
3. C.
   $2x + y \le 12, x + 2y \le 12, x + 1.25y \le 5, x \ge 0, y \ge 0$
4. D.
   $2x + y \le 12, x + 2y \le 12, x + 1.25y \ge 5, x \ge 0, y \ge 0$

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1. A.
   $2x + y \ge 2,\ x - y \ge 1,\ x + 2y \le 8,\ x \ge 0,\ y \ge 0$
2. B.
   $x + 2y \ge 2,\ x - y \ge 1,\ x + 2y \le 8,\ x \ge 0,\ y \ge 0$
3. C.
   $2x + y \ge 2,\ x - y \le 1,\ x + 2y \le 8,\ x \ge 0,\ y \ge 0$
4. D.
   $2x + y \ge 2,\ x - y \le 1,\ 2x + y \le 8,\ x \ge 0,\ y \ge 0$

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