Question

The set-builder form of the set $\{\frac{1}{2},\frac{1}{4},\frac{1}{8},\frac{1}{16},\frac{1}{32},\frac{1}{64}\}$ is

• A. $\{x:x=\frac{1}{2^m},\text{where}mϵW\text{and}m\le 6\}$
• B. $\{x:x=\frac{1}{2^m},\text{where}mϵN\text{and}m\le 6\}$
• C. $\{x:x=\frac{1}{2^m},\text{where}mϵN\text{and}m<6\}$
• D. $\{x:x=\frac{1}{2^m},\text{where}mϵW\text{and}m<6\}$

Answer 1

The correct option is B

$\{x:x=\frac{1}{2^m},\text{where}mϵN\text{and}m\le 6\}$

$\{x:x=\frac{1}{2^m},\text{where}mϵN\text{and}m\le 6\}$