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Systems of Two Linear Equations in Two Variables

SAT Math· difficulty 4/5

The feasible region of x≥0x \geq 0, y≥0y \geq 0, x+y≤6x + y \leq 6 is:

  • A

    A triangle

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  • B

    Empty

  • C

    Unbounded

  • D

    A line segment

Explanation

The three constraints form a triangle with vertices (0,0),(6,0),(0,6)(0,0), (6,0), (0,6).

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