Question

Statement I The set $\{5,25,125,625\}$ in the set-builder form is $\left\{x: x=5^n, n \in N\right\}$.
Statement II The set $\{2,4,6, \ldots\}$ in the set-builder form is $\left\{x: x=2^n, n \in N\right\}$.

• A. Statement I is true
• B. Statement II is true
• C. Both are true
• D. Both are false

Answer 1

Answer: (D)

The set $\{5,25,125,625\}$ in set-builder form is $\left\{x: x=5^n\right.$, where $x \in N$ and $\left.1 \leq n \leq 4\right\}$.
The set $\{2,4,6, \ldots\}$ in the set-builder form is $\{x: x=2 n$, where $x \in N\}$ or $\{x: x$ is an even natural number $\}$.