Multiple choice

In each of the following questions, two equations are given. You have to solve them and\ (I) (6x^2 – x – 2 = 0)\ (II) (5y^2 – 18y + 9 = 0)

  1. If x > y

  2. If x ≥ y

  3. If x < y

  4. If x ≤ y

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

Solve (I): 6x² - x - 2 = 0 factors to (3x - 2)(2x + 1) = 0, giving x = 2/3 or x = -1/2. Solve (II): 5y² - 18y + 9 = 0. Discriminant = 324 - 180 = 144. y = (18 ± 12)/10 = 3 or 0.6. Comparing: x = 2/3 ≈ 0.67 and y = 0.6 means x > y for this pair. But x = -1/2 and y = 3 means x < y. Since x can be greater or less than y, relationship cannot be established.

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