Multiple choice

In each of the following questions, two equations are given. You have to solve them and\ I. (x^2 + 2x = 24)\ II. (y^2 - 10y + 21 = 0)

  1. If x > y

  2. If x ≥ y

  3. If x < y

  4. If x ≤ y

  5. If x = y or relationship can not be established
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

I: x² + 2x = 24 gives x² + 2x - 24 = 0, so (x + 6)(x - 4) = 0 and x = -6 or 4. II: y² - 10y + 21 = 0 gives (y - 7)(y - 3) = 0, so y = 7 or 3. Comparing: when x = -6, x < y (both 7 and 3). When x = 4, x > 3 but x < 7. The relationship cannot be established consistently.

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