Multiple choice

Directions: In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer. I. x2 = 5476, II. y3 = 405224

  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

x^2 = 5476 => x = 74 or -74. y^3 = 405224 => y = 74. Comparing x and y: if x = 74, x = y; if x = -74, x < y. Thus, x <= y.

AI explanation

Solving the first equation using square roots gives x = 74 or x = -74. Finding the cube root of 405224 in the second equation gives y = 74. Since the positive root of x equals y, but the negative root of x is less than y, the overall relationship is that x is less than or equal to y.

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