Kiran posted an MCQ
October 02, 2020 • 18:54 pm 50 points
  • IIT JAM
  • Mathematics (MA)

. let x, =(0,1) nq and x, =ex,jq =2',ien then. (a) x, is countable but |0,1]-x, is uncountable. (b) xis countable but |0,1-x, is uncountable. (c) x, is countabl

. Let X, =(0,1) nQ and X, =eX,jq =2',ieN then. (a) X, is countable but |0,1]-X, is uncountable. (b) Xis countable but |0,1-X, is uncountable. (c) X, is countable but X, is uncountable. (d) X, is uncountable but X, is countable.

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    Deepak singh 1 best-answer

    X1 is collection of rationals of (0,1) and rational are countable so X1 is countable . And X2 is subset of X1 which is countable , so X2 is also countable . [0,1]/ X1 and [0,1]/X2 is uncountable . because [0,1] is uncountable. So option a and b are correct.

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