Let x satisfy x − √121 = 0 and y be the greater real root of y^2 − 121 = 0. Compare x and y.

Introduction / Context: We compare specific solutions: x is uniquely determined by a linear radical equation; y comes from a quadratic with two symmetric roots. By convention, we take the greater real root for y to avoid ambiguity and then compare numerically.

Given Data / Assumptions:

• x − √121 = 0 ⇒ x = √121 = 11.
• y^2 − 121 = 0 ⇒ y = ±11, take greater y = 11.

Concept / Approach: Evaluate both exactly, then choose the correct relation symbol.

Step-by-Step Solution:

Verification / Alternative check: Direct substitution confirms equality.

Why Other Options Are Wrong: Strict inequalities (x > y or x < y) are false because the values are equal.

Common Pitfalls: Forgetting to select the greater root for y or mis-evaluating √121.

Final Answer: If x ≥ y