Multiple choice

In each of the following questions, two equations are given. You have to solve them and state the correct relationship-(I.)\ (x^2 - 5x + 6 = 0)(II.)\ (y^2 - 17y + 72 = 0)

  1. If x > y

  2. If x ≥ y

  3. If x < y

  4. If x ≤ y

  5. If x = y or relationship can not be determined
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Solving x² - 5x + 6 = 0 gives x = 2 or x = 3 (factors: x-2 and x-3). Solving y² - 17y + 72 = 0 gives y = 8 or y = 9 (factors: y-8 and y-9). All possible values of x (2, 3) are less than all possible values of y (8, 9), so x < y always holds true.

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