Multiple choice

Directions: In the given question, two quantities are given, one as Quantity I and another as Quantity II. You have to determine the relationship between the two quantities and choose the appropriate option. 4x2 - 23x + 33 = 0 Quantity I: x Quantity II: 4

  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 the relationship cannot be established from the information given.
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Solving 4x^2 - 23x + 33 = 0 using the quadratic formula or factoring: (4x - 11)(x - 3) = 0. The roots are x = 11/4 = 2.75 and x = 3. Since both values are less than 4, Quantity I < Quantity II.

AI explanation

Use the factorization method to split the middle term of 4x^2 - 23x + 33 = 0 into -12x and -11x, yielding (4x - 11)(x - 3) = 0. The roots are x = 11/4 and x = 3, which are approximately 2.75 and 3. Quantity I has a maximum value of 3, while Quantity II is 4, so Quantity I < Quantity II.

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