Write the following sets in the set-builder form :
${\rm{\{ 2,4,8,16,32\} }}$
Write the following sets in the set-builder form :
${\rm{\{ 2,4,8,16,32\} }}$
$\{ 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
In the following state whether $\mathrm{A = B}$ or not :
$A = \{ 2,4,6,8,10\} ;B = \{ x:x$ is positiveeven integer and $x\, \le \,10\} $
In the following state whether $\mathrm{A = B}$ or not :
$A = \{ 2,4,6,8,10\} ;B = \{ x:x$ is positiveeven integer and $x\, \le \,10\} $
Let $A=\{1,2,\{3,4\}, 5\} .$ Which of the following statements are incorrect and why ?
$\{1,2,5\}\in A$
Let $A=\{1,2,\{3,4\}, 5\} .$ Which of the following statements are incorrect and why ?
$\{1,2,5\}\in A$
State whether each of the following set is finite or infinite :
The set of letters in the English alphabet
State whether each of the following set is finite or infinite :
The set of letters in the English alphabet
Show that the set of letters needed to spell $"\mathrm{CATARACT}"$ and the set of letters needed to spell $"\mathrm{TRACT}"$ are equal.
Show that the set of letters needed to spell $"\mathrm{CATARACT}"$ and the set of letters needed to spell $"\mathrm{TRACT}"$ are equal.
In rule method the null set is represented by
In rule method the null set is represented by