Write the set $C = {2, 4, 8, 16, 32}$ in the set-builder form.

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Solution

Clearly, $C = {2^{1}, 2^{2}, 2^{3}, 2^{4}, 2^{5}}$
Thus, in the set -builder form, we write it as
$C = {x : x = 2^{n}, where n ϵ N and 1 \leq n \leq 5}$

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