Question

State which of the following statement are true or false.

$\left\{x:x=3n,n=N,1\le n\le 10\right\}=\left\{1,3,6,9,\dots ,30\right\}$

• A. True
• B. False

Answer 1

The correct option is B False

In Roster method $\left\{x:x=3n,n=N,1\le n\le 10\right\}=\left\{3,6,9,...,30\right\}$ which is not equal to $\left\{1,3,6,9,\dots ,30\right\}$

Rule method or Set Builder Form: In this method, we write a variable (say $x$) representing any member of the set followed by property, rule, or a statement satisfied by each element of the set and enclose it in curly brackets.

Roaster method: In this method, all the elements of the set are listed and separated by commas. The list is enclosed in curly brackets.

Hence, the given statement is false.