Write following sets in set-builder form : {rm{{ 2,4,8,16,32} }}

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1.Set Theory

easy

Write the following sets in the set-builder form :

${\rm{\{ 2,4,8,16,32\} }}$

Option A

Option B

Option C

Option D

Solution

$\{ 2,4,8,16,32\} $

It can be seen that $2=2^{1}, 4=2^{2}, 8=2^{3}, 16=2^{4},$ and $32=2^{5}$

$\therefore \{ 2,4,8,16,32\} = \{ x:x = {2^n},n \in N$ and ${\rm{ }}1\, \le \,n\, \le \,5\} $

Standard 11

Mathematics

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