Which of the given options <strong>CORRECTLY</strong> defines the relationship between x and y, if<br>'× means ÷', '÷ means +', '+ means -', and '- means ×'?<br>x = 40 × 5 ÷ 12 - 2 + 22<br>y = 60 × 10 ÷ 2 - 3 + 4

  1. A. (3/2)x \gt 2y
  2. B. 4x^2 \gt y^3
  3. C. \sqrt{(x^2 - y^2 - 11)} = \pm 5 ✓
  4. D. \sqrt{(x^2 - y^2)} = 36

Correct Answer: C. \sqrt{(x^2 - y^2 - 11)} = \pm 5

Explanation

Applying the symbol changes: x = 40 \div 5 + 12 \times 2 - 22 = 8 + 24 - 22 = 10. And y = 60 \div 10 + 2 \times 3 - 4 = 6 + 6 - 4 = 8. Checking Option 3: \sqrt{(10^2 - 8^2 - 11)} = \sqrt{100 - 64 - 11} = \sqrt{25} = 5.

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