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Let A be the subset of R given by A = ([2, 3] Q) (3, 4) {5}. (a) (4 points) Find the interior of

Let A be the subset of R given by A = ([2, 3] \ Q) (3, 4) {5}.

(a) (4 points) Find the interior of A and the closure of the interior in R.

(b) (4 points) Find the closure of A and the interior of the closure of A in R.

(c) (2 points) Find the boundary of A.

(d) (4 points) Find the complement of A and the closure of the complement of A in R

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