Multiple choice

Find the value of variables and state the correct relationship- If (x^2 - 7x + 12 = 0) and (y^2 - 11y + 30 = 0) then

  1. $x < y$
  2. $x > y$
  3. $x ≤ y$
  4. $x ≥ y$

  5. x = y or Relation cannot be established
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

For x² - 7x + 12 = 0: factors as (x-3)(x-4) = 0, so x = 3 or 4. For y² - 11y + 30 = 0: factors as (y-5)(y-6) = 0, so y = 5 or 6. Since all possible values of x (3, 4) are less than all possible values of y (5, 6), we can conclude x < y is always true.

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