Question

Write the given set in Roster form and also in Set-Builder Form: ​

(c) Set of letters used in word $\text{'CALCUTTA'}$.

Answer 1

Step: Writing the given set in Roster form and also in Set-Builder Form.

Letters used in the word ‘calcutta’ are $c,a,l,c,u,t,t,a.$​
But we write every letter only once in a set, $i.e.c,a,l,u,t.$
Hence, the Roster form is $\{c,a,I,u,t\}$ and the
Set builder form is :
$\left\{\text{x : x is the letter used in the word 'calcutta'}\right\}$