Multiple choice

$I. (x^2 + 12x + 27 = 0) II. (y^2 + 11y + 30 = 0)$ Solve the given equations and determine the relationship between x and y.

  1. If x > y

  2. If x ≥ y

  3. If x < y

  4. If x ≤ y

  5. If x = y or relationship cannot be determined
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E Correct answer
Explanation

Solving x² + 12x + 27 = 0 gives x = -3 or x = -9. Solving y² + 11y + 30 = 0 gives y = -5 or y = -6. Comparing the values: when x = -3, x > y for both y values (-3 > -5, -3 > -6). When x = -9, x < y for both values (-9 < -5, -9 < -6). Since the relationship changes depending on which roots we compare, we cannot establish a consistent relationship between x and y.

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