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Given X ≥ Y = Z > W, consider the conclusions: (i) X ≥ Z and (ii) X > W. Which of the following is correct?

Competition practiceInequalities
  • ANeither conclusion is true
  • BOnly conclusion (ii) is true
  • COnly conclusion (i) is true
  • DBoth conclusions are true

Step-by-Step Solution

X ≥ Y = Z gives X ≥ Z, and continuing X ≥ Z > W gives X > W, so both conclusions hold.
Answer: D) Both conclusions are true

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