Question

Match the roster form with set builder form.

Answer 1

1). $\left\{xisprimenumberandadivisorof6\right\}$

Prime number $=2,3,5,7$

Divisor of $6=1,2,3,6$

Numbers which are both prime and divisor of 6

$=\{2,3\}$

2). $\{x:xisanoddnaturalnumbersmallerthen10\}$

The natural number starts from $1$ onwards.

Numbers which are both odd and natural

which are less then $10=\{1,3,5,7,9\}$

3). $\{x:xisanaturalnumberanddivisorof6\}$

Natural starts from 1 onwards

Divisors of $6=1,2,3,6$

Numbers which are both natural numbers

and divisor of $6=\{1,2,3,6\}$

4). $\{x:xisaletterofthewordMATHEMATICS\}$

Repetitions are not considered and

solution set consists of letters only once

solution set $=\{M,A,T,H,E,I,C,S\}$

A] $\{1,2,3,6\}=3]\{x:xisanaturalnumberanddivisorsof6\}$

B] $\{2,3\}=1]\{x:xisaprimenumberanddivisorof6\}$

C]$\{M,A,T,H,E,I,C,S\}=4\{x:xisaletterofwordMATHEMATICS\}$

D]$\{1,3,5,7,9\}=2]\{x:xisanoddnaturalnumbersmallerthen10\}$