Multiple choice

In these questions, two equations numbered I and II are given. You have to solve both the equations and mark the appropriate option. I. (x² – 11x + 30 = 0) II. (2y² – 9y + 10 = 0)

  1. If x > y

  2. If x < y

  3. If x ≥ y

  4. If x ≤ y

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

Solve equation I: x² - 11x + 30 = 0 factors to (x-5)(x-6) = 0, so x = 5 or 6. Solve equation II: 2y² - 9y + 10 = 0 factors to (2y-5)(y-2) = 0, so y = 5/2 or 2. Comparing values: x can be 5 or 6, while y can be 2 or 2.5. Both possible values of x (5 and 6) are greater than both possible values of y (2 and 2.5). Therefore x > y always.

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