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Determine whether or not each of the following subsets of R is countable: Aq ={avi+i:aeQ} ii. Az = Q (0.t)Use the Cantor-Schroder-Bernstein Theorem t0 show that the...

Question

Determine whether or not each of the following subsets of R is countable: Aq ={avi+i:aeQ} ii. Az = Q (0.t)Use the Cantor-Schroder-Bernstein Theorem t0 show that the sets Bt (0.IJu{3} and Bz [0,4)U(1,3) are equivalent(c) Let € = M#aneN} € R Prove that sup(C) = 2.

Determine whether or not each of the following subsets of R is countable: Aq ={avi+i:aeQ} ii. Az = Q (0.t) Use the Cantor-Schroder-Bernstein Theorem t0 show that the sets Bt (0.IJu{3} and Bz [0,4)U(1,3) are equivalent (c) Let € = M#aneN} € R Prove that sup(C) = 2.



Answers

Show that a subset of a countable set is also countable.


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