Question

Write the following sets in roster (Tabular) form:

$A_6=\{x:x=\frac{n}{n+2};n$

$\in Nandn>5\}$

rm:

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 brackes and are separated by commas.

Given:

$A_6=\{x:x=\frac{n}{n+2};n$ $\in Nandn>5\}$

$\Rightarrow x=\frac{n}{n+2}(n>5,n\in N)$

So, possible values of x are 6,7,8,9,...
Then, corresponding values of x are:

$x=\frac{n}{n+2}$

when $n=6$

$\Rightarrow x=\frac{6}{6+2}=\frac{6}{8}=\frac{3}{4}$