Multiple choice

In each of the following question, two equation (I) and (II) is given. You have to solve them and answer the question. ( (I) x^2 – 11x + 24 = 0 ) ( (II) 2y^2 – 9y + 9 = 0 )

  1. If x > y

  2. If x ≥ y

  3. If x < y

  4. If x ≤ y

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

Solve equation I: x² - 11x + 24 = 0 factors to (x-3)(x-8) = 0, so x = 3 or 8. Solve equation II: 2y² - 9y + 9 = 0 factors to (2y-3)(y-3) = 0, so y = 1.5 or 3. Comparing values: when y = 1.5, x (3, 8) > y. When y = 3, x can be 3 or 8. So x ≥ y is correct since x is always greater than or equal to y.

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