Question

The set builder form of $\{2,4,6,8,10\}$ is

• A. $\{x:x$ is even natural number less than $10\}$
• B. $\{x:x=2n$ where $n\in N$ such that $n<6\}$
• C. $\{x:x=2n+1$ where $n\in \{1,2,3\}\}$
• D. $\{x:x=2n$ where $n\in Z$ such that $n<6\}$

Answer 1

The correct option is B $\{x:x=2n$ where $n\in N$ such that $n<6\}$

$\left(a\right).\{2,4,6,8\}\ne \{2,4,6,8,10\}$
$\left(b\right).\{2,4,6,8,10\}=\{2,4,6,8,10\}$
$\left(c\right).\{3,5,7\}\ne \{2,4,6,8,10\}$
$\left(d\right).\{...-4,-2,0,2,4,6,8,10\}\ne \{2,4,6,8,10\}$

Thus, Option b. has the correct "set builder" representation for the $\{2,4,6,8,10\}$