Multiple choice

In each question below two equations have been given on the basis of these you have to find out the relationship between 'x' and 'y'. $( (I) \space 3x + 12 = 4x + 6 )$ $( (II) \space y^2 + 17y + 72 = 0 )$

  1. If x = y or relation can't be established

  2. If x > y

  3. If x < y

  4. If x ≤ y

  5. If x ≥ y

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

From equation (I): 3x + 12 = 4x + 6, solving gives x = 6. From equation (II): y² + 17y + 72 = 0 factors to (y+8)(y+9) = 0, so y = -8 or y = -9. Since x = 6 and y is either -8 or -9, we have x > y in both cases. Therefore the relationship is x > y.