Question

Express $E=\{x|x=(n-1{)}^3,n<3,n\in W\}$ in the roster form:

• A. $E=\{-1,0,1,2\}$
• B. $E=\{-1,0,1\}$
• C. $E=\{-2,-1,0,1,2\}$
• D. Data insufficient
  

Answer 1

Answer: (B)

$E=\{-1,0,1\}$

In roster method , elements of the set are listed within the pair of brackets { } and are separated by commas.
Generally, whole numbers $0,1,\mathrm{2..}$ are represented with letter ${}^{\prime }{W}^{\prime }$.

In given question, we have $n<3$, where $n=0,1,2$

So, $(n-1{)}^3$for $n=(0,1,2)$ is $\{-1,0,1\}$

Hence, $E=\{-1,0,1\}$.