Question

The set $A=\{1,4,9,16,25, \ldots\}$ can be written in set-builder form as

• A. $\{x: x$ is the square of an integer $\}$
• B. $\{x: x$ is the square of a natural number $\}$
• C. $\left\{x: x=n^2\right.$, where $\left.n \in R\right\}$
• D. None of the above

Answer 1

Answer: (B)

We may write the set $A$ as
$A=\{x: x$ is the square of a natural number $\}$
AIternatively, we can write
$A=\left\{x: x=n^2\right.$, where $\left.n \in N\right\}$.