Multiple choice

In each of the following questions two equations (I) and (II) are given. Solve these equations and give the answer: (I). (2x^2 + 5x - 42 = 0) (II). (y^2 - 19y + 84 = 0)

  1. If x < y

  2. If x > y

  3. If x ≥ y

  4. If x ≤ y

  5. If x = y or no relationship can be established between x and y.
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A Correct answer
Explanation

Solve equation (I): 2x² + 5x - 42 = 0 gives x = -6 or x = 3.5 using quadratic formula. Solve equation (II): y² - 19y + 84 = 0 gives y = 7 or y = 12. For all possible values of x (-6 or 3.5) and y (7 or 12), x is always less than y, so x < y is the correct relationship.

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