Multiple choice

In each of the following questions, two equations are given. You have to solve them and\newline I. (x^4 - 227 = 398) (II. y^2 + 321 = 346)

  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 established

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

Equation I: x⁴ - 227 = 398 → x⁴ = 625 → x = ±5. Equation II: y² + 321 = 346 → y² = 25 → y = ±5. Both equations give |x| = 5 and |y| = 5. Since x could be +5 or -5, and y could be +5 or -5, we have |x| = |y|, meaning x ≥ y (x can equal y or be greater). Option B (x ≥ y) is correct.