Multiple choice

In the given question, two equations, numbered I and II, are given. Solve both the equations to get the appropriate answer. I. x2 - 4 = 0 II 4y2 - 7y - 2 = 0

  1. If x = y or the relationship cannot be established

  2. If x > y

  3. If x ≥ y

  4. If x ≤ y

  5. If x < y
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A Correct answer
Explanation

Equation I gives x = 2 or x = -2. Equation II factors to (4y + 1)(y - 2) = 0, giving y = -1/4 or y = 2. Comparing these values, x can be less than, equal to, or greater than y, so no relationship can be established.

AI explanation

Using the square root method, the first equation x squared minus four equals zero gives x equals two or negative two. Using the factorization method for four y squared minus seven y minus two equals zero, we find y equals two or negative one fourth. Since one x value equals a y value but the other x value is greater than both y values while the remaining x value is less than both, no universal relationship can be established.

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