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Linear Inequalities in One or Two Variables

SAT Math· difficulty 5/5

A supplier ships in trucks holding either 12 small or 8 large boxes. To ship ≥96\ge 96 small-box-equivalents (1 large = 1.5 small), and ℓ\ell large + ss small inequality:

  • A

    1.5s+ℓ≥961.5s + \ell \ge 96

  • B

    s+ℓ≥96s + \ell \ge 96

  • C

    12s+8ℓ≥9612s + 8\ell \ge 96

  • D

    s+1.5ℓ≥96s + 1.5\ell \ge 96

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Explanation

Each large counts as 1.5 small, so total small-box-equivalents are s+1.5ℓs + 1.5\ell.

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