Multiple choice

Find the correct relationship between Quantity I and Quantity II. \ Quantity I: x where: (3x^2 + 2x - 8 = 0)\ Quantity II: y where: (3y^2 + 5y - 12 = 0)

  1. Quantity I > Quantity II

  2. Quantity I ≥ Quantity II

  3. Quantity I < Quantity II

  4. Quantity I ≤ Quantity II

  5. Quantity I = Quantity II or relationship cannot be established
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

For Quantity I: 3x² + 2x - 8 = 0. Solving using factorization or quadratic formula gives x = 4/3 or x = -2. For Quantity II: 3y² + 5y - 12 = 0 gives y = 3/2 or y = -4. Since x can be greater (4/3 > 3/2 is false, but 4/3 vs 3/2: 1.33 < 1.5), equal (both negative cases), or less depending on which roots we pick, no consistent relationship exists.

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