Let A be a dense subset of R.Which of the following statements about A is true? Select one: a. the set of rational numbers is a subset of A. Ob. if B is a finite subset of A then A-B= {a EA: a£ B} is dense in R. Oc. Given any nonempty set B of real numbers, the intersection ANB is not empty. d. if there is a sequence in A converging to 0 then 0 EA.

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Let A be a dense subset of R. Which of the following statements about A is true?
Select one:
a. the set of rational numbers is a subset of A.
b. if B is a finite subset of A then A-B={a EA: a£B} is dense in R.
O c. Given any nonempty set B of real numbers, the intersection ANB is not empty.
d. if there is a sequence in A converging to 0 then 0 EA.
Transcribed Image Text:Let A be a dense subset of R. Which of the following statements about A is true? Select one: a. the set of rational numbers is a subset of A. b. if B is a finite subset of A then A-B={a EA: a£B} is dense in R. O c. Given any nonempty set B of real numbers, the intersection ANB is not empty. d. if there is a sequence in A converging to 0 then 0 EA.
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