Multiple choice

In each of these questions, two equations (a) and (b) are given. You have to solve both the equations and choose the correct option. a) (x^2 - 5x + 4 = 0) b) (y^2 + 11y - 12= 0)

  1. x > y

  2. x ≤ y

  3. x ≥ y

  4. x < y

  5. x = y or relationship between x and y can't be established

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

Solving equation (a): x²-5x+4=0 factors to (x-1)(x-4)=0, so x=1 or x=4. Solving equation (b): y²+11y-12=0 factors to (y+12)(y-1)=0, so y=-12 or y=1. Comparing all values: x=1 equals y=1; x=4 is greater than both y=-12 and y=1; x=1 is greater than y=-12. Therefore, x is always greater than or equal to y, making x≥y the correct relationship.