Write the following sets in the set-builder form :

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

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$\{ 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\} $

Similar Questions

Make correct statements by filling in the symbols $\subset$ or $ \not\subset $ in the blank spaces:

$\{ x:x$ is an equilateral triangle in a plane $\}  \ldots \{ x:x$ is a triangle in the same plane $\} $

Make correct statements by filling in the symbols $\subset$ or $ \not\subset $ in the blank spaces:

$\{ 2,3,4\}  \ldots \{ 1,2,3,4,5\} $

Examine whether the following statements are true or false :

$\{ 1,2,3\}  \subset \{ 1,3,5\} $

Write down all the subsets of the following sets

$\{ a,b\} $

State which of the following sets are finite or infinite :

$\{ x:x \in N$ and $x$ is odd $\} $