Multiple choice

(\text{Solve the equations to find } m \text{ and } n:) (\text{I. } m^2 = (-11)^2 )(\text{II. } n^3 = 2197)

  1. if m > n

  2. if m ≥ n

  3. if m < n

  4. if m ≤ n

  5. if m = n or relationship can not be established
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

From I: m^2 = 121, so m = ±11. From II: n^3 = 2197, so n = 13 (only real cube root). If m = 11, then m < n (11 < 13). If m = -11, then m < n (-11 < 13). In both valid cases, m is strictly less than n, making option C correct.

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