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 $\{2,4,6,\dots \}$ 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 $\{x:x=5^n$, where $x\in N$ and $1\le n\le 4\}$.
The set $\{2,4,6,\dots \}$ in the set-builder form is $\{x:x=2n$, where $x\in N\}$ or $\{x:x$ is an even natural number $\}$.