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  3. given the following subsets of r: a = rq = {x ? r|

Given the following subsets of R: A = RQ = {x ? R|x not in Q} B...

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Advance Math

Given the following subsets of R:

A = RQ = {x ? R|x not in Q}

B = {1, 2, 3, 4}

C = (0, 1]

D = (0, 1] ? [2, 3) ? (4, 5] ? [6, 7] ? {8}

(a) Find the set of limit points for each subset when consideredas subsets of RU (usual topology on R).

(b) Find the set of limit points for each subset when consideredas subsets of RRR (right-ray topology on R).

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