Multiple choice

In the following question two equations numbered I and II are given. You have to solve both the equations and give answer. ( I. ) (x^2 - 10x + 24 = 0 ) ( II. ) (y^2 - 9y + 20 = 0 )

  1. x > y

  2. x ≥ y

  3. x < y

  4. x ≤ y

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

Solving x^2 - 10x + 24 = 0 gives (x - 4)(x - 6) = 0, so x = 4 or 6. Solving y^2 - 9y + 20 = 0 gives (y - 4)(y - 5) = 0, so y = 4 or 5. Comparing all pairs: (x=4, y=4) gives x = y; (x=4, y=5) gives x < y; (x=6, y=4) gives x > y; (x=6, y=5) gives x > y. Since x can be greater than, less than, or equal to y, the relationship cannot be established.

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