Multiple choice

In each of the following question, two equation (I) and (II) is given. You have to solve them and answer the question. ( (I) x^2 + 5x + 6 = 0 )( (II) y^2 + 3y +2 = 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 established

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Solve equation I: x² + 5x + 6 = 0 factors to (x+2)(x+3) = 0, so x = -2 or -3. Solve equation II: y² + 3y + 2 = 0 factors to (y+1)(y+2) = 0, so y = -1 or -2. Comparing values: x = -3, -2 and y = -2, -1. Both values of x are less than or equal to the corresponding y values, specifically x ≤ y holds.