Multiple choice

In the following question, two equations I and II are given. Solve both the equations Carefully & answer the questions given below: I. (x^3 = -704969) II. (y^2 = 7921)

  1. I > II

  2. I < II

  3. I ≥ II

  4. I ≤ II

  5. I = II, or relation cannot be established

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

For equation I: x³ = -704969. Since the cube of a negative number is negative, x = -89 because -89 × -89 × -89 = -704969. For equation II: y² = 7921, so y = ±89 (since both 89² and (-89)² = 7921). Comparing x = -89 with y = ±89: x = y when y = -89, and x < y when y = 89. Therefore x ≤ y is always true. D is correct.