Question

Write the following sets in roster (Tabular) form:

$A_5=$

$\{x:x=4n,n\in Wandn<4\}$

Answer 1

Step: Express the given set in roster (Tabular) form:
We know that in roster or tabular method, the elements of the set are written inside a pair of curly braces and are separated by commas.

Given: $A_5=\{x:x=4n,n\in Wandn<4\}$
$\Rightarrow x=4n(n<4,n\in W)$
Possible values of $n$ are $3,2,1$ and $0$

Then for $n=0\Rightarrow x=4\left(0\right)=0$

For $n=1$ $\Rightarrow x=4\left(1\right)=4$

For $n=2$ $\Rightarrow x=4\left(2\right)=8$

For $n=3$ $\Rightarrow x=4\left(3\right)=12$

This gives $x=0,4,8,12$

Hence, the set $A_5=\{x:x=4n,n\in Wandn<4\}$

in roster (Tabular) form is $A_5=0,4,8,12$.