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^{3} = -9261) (b) (y^{2} = 441)

  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
B Correct answer
Explanation

Solving x³ = -9261 gives x = -21 (cube root of negative is negative). Solving y² = 441 gives y = ±21. Comparing: x = -21 and y can be 21 or -21. When y = 21: x < y. When y = -21: x = y. Therefore x ≤ y is always true.