Multiple choice

In the following question two equations numbered I and II are given you have to solve both the equations and give answer. $I. (x^2 - 7x + 12 = 0) II. (y^2 + y - 12 = 0)$

  1. If x > y

  2. If x ≥ y

  3. If x < y

  4. If x ≤ y

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

Solving (I): x²-7x+12=0 factors to (x-3)(x-4)=0, giving x=3 or x=4. Solving (II): y²+y-12=0 factors to (y+4)(y-3)=0, giving y=-4 or y=3. Comparing all pairs: (3,3) gives x=y; (3,-4) gives x>y; (4,3) gives x>y; (4,-4) gives x>y. In all cases x≥y holds true.

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