Multiple choice

In the given question two equations I & II are given, you have to solve them and answer the question. (I) (x^2 + 7x + 10 = 0) ()()()() (II) (y^2 + 11y + 30 = 0)

  1. if x > y

  2. if x < y

  3. if x = y or relation can’t be establish

  4. if x ≥ y

  5. if x ≤ y
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Solving equation (I): x^2 + 7x + 10 = 0 factors to (x+5)(x+2) = 0, giving x = -5 or x = -2. Solving equation (II): y^2 + 11y + 30 = 0 factors to (y+6)(y+5) = 0, giving y = -6 or y = -5. Comparing all possible combinations: when x = -2, it is greater than both y values (-5 and -6); when x = -5 and y = -6, x > y; when x = -5 and y = -5, x = y. In all cases, x is either equal to or greater than y.

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