Multiple choice

In each of the following questions (I) and (II) equations are given. You have to solve them and Give answer- (l) (2x^{2}– 13 x – 24 = 0) (ll) (3y^{2} + 17y + 24 = 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 determined
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A Correct answer
Explanation

Solving 2x²-13x-24=0: factor as (2x+3)(x-8)=0, giving x=8 or x=-1.5. Solving 3y²+17y+24=0: factor as (3y+8)(y+3)=0, giving y=-8/3≈-2.67 or y=-3. For all values of x (8 or -1.5) and y (-2.67 or -3), x is always greater than y. Since every possible x value exceeds every possible y value, x>y is the correct relationship.

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