Multiple choice

In each of the following questions two equations are given. You have to solve both the equation and state the correct relationship. $I. (4x^2 - 11x + 6 = 0)$ $II. (4y^2 - 17y + 18 = 0)$

  1. If x > y

  2. If x < y

  3. If x ≥ y

  4. If x ≤ y

  5. x = y or the relationship can not be established

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

Solving equation I: 4x²-11x+6=0 factors to (4x-3)(x-2)=0, so x=3/4 or x=2. Solving equation II: 4y²-17y+18=0 factors to (4y-9)(y-2)=0, so y=9/4 or y=2. Comparing values: x can be 3/4 or 2, y can be 9/4 or 2. When x=3/4, x