Multiple choice

Directions: In the given question, two equations (I) and (II) are given. You have to solve both the equations and select answer from the given options. I. 2x2 - 15x + 28 = 0 II. 4y2 - 16y + 15 = 0

  1. If x < y

  2. If x ≥ y

  3. If x > y

  4. If x ≤ y

  5. x = y, or the relationship cannot be established.
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

I: 2x^2 - 15x + 28 = 0. (2x-7)(x-4) = 0. x = 3.5 or 4. II: 4y^2 - 16y + 15 = 0. (2y-3)(2y-5) = 0. y = 1.5 or 2.5. Comparing values, x > y in all cases.

AI explanation

Factoring equation one gives (2x minus 4)(x minus 7) equals 0, so x equals 2 or 7. Factoring equation two gives (2y minus 3)(2y minus 5) equals 0, so y equals 1.5 or 2.5. Since both possible values of x are greater than both possible values of y, the relation is x greater than y.

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