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Linear Inequalities in One or Two Variables

SAT Math· difficulty 4/5

A point (x0,y0)(x_0, y_0) satisfies 2x+3y≤122x + 3y \le 12 and x≥0x \ge 0 and y≥0y \ge 0. Which is in this region?

  • A

    (6,1)(6, 1)

  • B

    (3,1)(3, 1)

    check_circle
  • C

    (5,2)(5, 2)

  • D

    (4,2)(4, 2)

Explanation

(3,1)(3, 1): 6+3=9≤126 + 3 = 9 \le 12 ✓; both coordinates nonnegative. The others fail 2x+3y≤122x + 3y \le 12.

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