## 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 â‚¬ = M#aneN} â‚¬ 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 â‚¬ = M#aneN} â‚¬ R Prove that sup(C) = 2.

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