Multiple choice

Directions: Two equations I and II are given below in the following question. You have to solve these equations and give your answer. 2x2 – 12x + 16 = 0 y2 – 11y + 30 = 0

  1. if x < y

  2. if x > y

  3. if x ≤ y

  4. if x ≥ y

  5. if x = y or no relation can be established
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A Correct answer
AI explanation

Factoring the first equation 2x2 - 12x + 16 = 0 gives (2x - 8)(x - 2) = 0, resulting in x = 4 or 2. Factoring the second equation y2 - 11y + 30 = 0 gives (y - 5)(y - 6) = 0, so y = 5 or 6. Since both values of x, which are 4 and 2, are less than both values of y, which are 5 and 6, x is always less than y. Therefore, x < y.

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