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ExamsJEE AdvancedMaths

Which of the following is a null (empty) set?

  1. A = {x: x > 1 and x < 1}
  2. B = {x: x + 3 = 3}
  3. C = {phi}
  4. D = {x: x >= 1 and x <= 1}

Correct answer: A = {x: x > 1 and x < 1}

Solution

Set A requires x to be simultaneously greater than 1 and less than 1, which is impossible for any real number, making A the empty set.

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