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Prerna Chaudhary posted an Question
February 02, 2022 • 04:52 am 30 points
  • IIT JAM
  • Mathematics (MA)

10. let xdenote the two point set 0,1} and write x, -{0.1} for every j-1, 2, 3,... let y=ix,. which of the following is/are j=l true? 1. yis a countable set. 2.

10. Let Xdenote the two point set 0,1} and Write X, -{0.1} for every j-1, 2, 3,... Let Y=IX,. Which of the following is/are j=l true? 1. Yis a countable set. 2. Card Y= card [0. 1. 3 UI 1S uncountable. n=1j=1 4 Yis uncountable.

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    Kanika goswami 1 Best Answer

    As infinite product of countable sets is always uncountable and Because cardinality of an uncountable set is equal to cardinality of unit interval set. So option 2 and 4 are correct.

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