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A budget constraint for a school event is modeled by the inequality 5x + 3y ≤ 150, where x is the number of student tickets and y is the number of adult tickets.

If the school also requires that the number of student tickets be at least twice the number of adult tickets, which additional inequality must be satisfied?

  1. x + y ≥ 2
  2. x ≥ 2y
  3. x ≤ 2y
  4. y ≥ 2x

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