Sandeep Gupta posted an Question
September 13, 2020 • 23:22 pm 30 points
  • IIT JAM
  • Mathematics (MA)

Let s be an infinite subset of r such that soq=. which of the following statements is true? (a.) s must have a limit point which belongs to q (b.) s must have a

Let S be an infinite subset of R such that SoQ=. Which of the following statements is true? (a.) S must have a limit point which belongs to Q (b.) S must have a limit point which belongs to R1Q (c.) S cannot be a closed set in R (d.) R/S must have a limit point which belongs to S.

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    Deepak singh 1 best-answer

    see attached , option a,b,c can be discarded by this set S .. so option d is correct

    cropped4481896707152671479.jpg
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    not clear

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    kya yaha pr R/Q = R-Q le skte hai

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    no , you can't take irrational...

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    because in question given S is infinite but irrational are uncountable...

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    you have to take any infinite subset which can discard option a, b, and c

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