Multiple choice

In each of the following questions, two equations are given. You have to solve them and answer the following - $I. (10x^2 - 55x + 70 = 0)$ $II. (y^2 - 2.25 = 0)$

  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
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A Correct answer
Explanation

Solving equation I: 10x² - 55x + 70 = 0. Dividing by 5: 2x² - 11x + 14 = 0. Factorizing: (2x - 7)(x - 2) = 0, so x = 3.5 or x = 2. Solving equation II: y² - 2.25 = 0, so y² = 2.25, giving y = ±1.5. Since both values of x (2 and 3.5) are greater than both values of y (-1.5 and 1.5), we conclude x > y always.

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