Multiple choice

In each of the following questions, two equations are given. You have to solve them and give answer- I. (y^2 + 7y = -12) II. (3x^2 + 18 = -15x)

  1. If x > y

  2. If x ≥ y

  3. If x < y

  4. If x ≤ y

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

Rearranging: y²+7y+12=0 gives (y+3)(y+4)=0, so y=-3 or -4. Rearranging: 3x²+15x+18=0 gives x²+5x+6=0, so (x+2)(x+3)=0, meaning x=-2 or -3. When x=-3, y could be -3 or -4. When x=-2, y could be -3 or -4. In all cases, x ≥ y (equal when both are -3, greater otherwise).

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